big ideas math algebra 2 answer key

a5 = 1/2 4.25 = 2.125 . What is the total distance the pendulum swings? Justify your answers. 81, 27, 9, 3, 1, . You begin by saving a penny on the first day. S = 1/1 0.1 = 1/0.9 = 1.11 a5 = -5(a5-1) = -5a4 = -5(1000) = -5000. Question 15. . Question 3. Answer: Find the sum of the terms of each arithmetic sequence. Sum = a1(1 r) n = 17 . Explain your reasoning. Moores prediction was accurate and is now known as Moores Law. a1 = 1 1 = 0 REWRITING A FORMULA a1 = 4(1) = 4 What was his prediction? r = a2/a1 a4 = 3 229 + 1 = 688 B. an = n/2 a6 = 4( 1,536) = 6,144, Question 24. You add chlorine to a swimming pool. recursive rule, p. 442, Core Concepts Answer: Solve the system. . 5, 8, 13, 20, 29, . Answer: Question 27. an = 0.4 an-1 + 325 Anarithmetic sequencehas a constantdifference between each consecutive pair of terms. a3 = a2 5 = -4 5 = -9 Each week, 40% of the chlorine in the pool evaporates. This implies that the maintenance level is 1083.33 3, 12, 48, 192, 768, . Answer: Question 55. Write a rule for the number of band members in the nth row. Answer: Question 51. The monthly payment is $91.37. Let an be your balance n years after retiring. Given, a1 = 2(1) + 1 = 3 . COMPARING METHODS So, it is not possible Big Ideas MATH: A Common Core Curriculum for Middle School and High School Mathematics Written by Ron Larson and Laurie Boswell. a5 = 41, a10 = 96 The Sierpinski triangle is a fractal created using equilateral triangles. an = 180(n 2)/n Write are cursive rule for the amount you have saved n months from now. Write a recursive rule for the sequence. Find the amount of the last payment. 1 + x + x2 + x3 + x4 Which is different? Then verify your formula by checking the sums you obtained in Exploration 1. . More textbook info . Question 9. Question 19. . Answer: $\sum_{i=1}^{39}$(4.1 + 0.4i ) The number of items increases until it stabilizes at 57,500. Write an explicit rule for the number of cans in row n. Answer: Answer: ERROR ANALYSIS In Exercises 31 and 32, describe and correct the error in writing a rule for the nth term of the geometric sequence for which a2 = 48 and r = 6. (7 + 12(5)) + (7 + 12(6)) + . Substitute r in the above equation. a1 = 26, an = 2/5 (an-1) Writing Rules for Sequences An online music service initially has 50,000 members. How is the graph of f different from a scatter plot consisting of the points (1, b1), (2, b21 + b2), (3, b1 + b2 + b3), . . Answer: Write the series using summation notation. In Example 6, how does the monthly payment change when the annual interest rate is 5%? Answer: Question 58. Answer: Question 8. a3 = 3/2 = 9/2 REASONING D. 586,459.38 Write a recursive rule for the amount of the drug in the bloodstream after n doses. a. Answer: Question 52. Answer: Question 6. . Write a rule for the nth term of the sequence. a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. Answer: Question 51. Each year, 2% of the books are lost or discarded. a. Question 67. r = 0.01/0.1 = 1/10 Find the length of the spring, if possible. . Can a person running at 20 feet per second ever catch up to a tortoise that runs 10 feet per second when the tortoise has a 20-foot head start? . An endangered population has 500 members. Answer: In Exercises 1526, describe the pattern, write the next term, and write a rule for the nth term of the sequence. Use the diagram to determine the sum of the series. Answer: Question 4. Describe the pattern shown in the figure. $\sum_{i=3}^{n}$(3 4i) = 507 . Then evaluate the expression. About how much greater is the total distance traveled by the basketball than the total distance traveled by the baseball? What is the 1000th term of the sequence whose first term is a1 = 4 and whose nth term is an = an-1 + 6? Answer: Question 69. . Answer: Write the repeating decimal as a fraction in simplest form. f(n) = $\frac{1}{2}$f(n 1) . -3(n 2) 4(n 2)(3 + n)/2 = -507 a. Based on the type of investment you are making, you can expect to earn an annual return of 8% on your savings after you retire. Do the perimeters and areas form geometric sequences? an = 3 + 4n Question 1. f(4) = f(4-1) + 2(4) b. a1 = 6, an = 4an-1 $\sum_{i=1}^{41}$(2.3 + 0.1i ) Then graph the sequence and classify it as arithmetic, geometric, or neither. Verify your formula by finding the sums of the first 20 terms of the arithmetic sequences in Exploration 1. MATHEMATICAL CONNECTIONS For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. The library can afford to purchase 1150 new books each year. 0.1, 0.01, 0.001, 0.0001, . Describe the type of growth. Answer: Write a rule for the nth term of the arithmetic sequence. 5.8, 4.2, 2.6, 1, 0.6 . You want to save $500 for a school trip. S29 = 1,769. an = an-1 + d Answer: Question 23. Answer: Sequences and Series Maintaining Mathematical Proficiency Page 407, Sequences and Series Mathematical Practices Page 408, Lesson 8.1 Defining and Using Sequences and Series Page(409-416), Defining and Using Sequences and Series 8.1 Exercises Page(414-416), Lesson 8.2 Analyzing Arithmetic Sequences and Series Page(417-424), Analyzing Arithmetic Sequences and Series 8.2 Exercises Page(422-424), Lesson 8.3 Analyzing Geometric Sequences and Series Page(425-432), Analyzing Geometric Sequences and Series 8.3 Exercises Page(430-432), Sequences and Series Study Skills: Keeping Your Mind Focused Page 433, Sequences and Series 8.1 8.3 Quiz Page 434, Lesson 8.4 Finding Sums of Infinite Geometric Series Page(435-440), Finding Sums of Infinite Geometric Series 8.4 Exercises Page(439-440), Lesson 8.5 Using Recursive Rules with Sequences Page(441-450), Using Recursive Rules with Sequences 8.5 Exercises Page(447-450), Sequences and Series Performance Task: Integrated Circuits and Moore s Law Page 451, Sequences and Series Chapter Review Page(452-454), Sequences and Series Chapter Test Page 455, Sequences and Series Cumulative Assessment Page(456-457), Big Ideas Math Answers Grade 7 Accelerated, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 7 Module 1 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 7 Module 3 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 2 Answer Key, Bridges in Mathematics Grade 4 Student Book Unit 3 Module 1 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 4 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 3 Answer Key, Bridges in Mathematics Grade 2 Home Connections Unit 8 Module 2 Answer Key. . . . Answer: In Exercises 3340, write a rule for the nth term of the geometric sequence. $\sum_{i=1}^{n}$(4i 1) = 1127 Explain your reasoning. , 800 Answer: Determine the type of function represented by the table. Answer: Question 49. Explain your reasoning. Then remove the center square. $\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \ldots$ Answer: Question 29. Answer: Question 21. a1 = 3, an = an-1 7 First, divide a large square into nine congruent squares. What will your salary be during your fifth year of employment? 3.1, 3.8, 4.5, 5.2, . 3n = 300 You use a calculator to evaluate $\sum_{i=3}^{1659}$i because the lower limit of summation is 3, not 1. Simply tap on the quick links available for the respective topics and learn accordingly. Question 3. Then write a rule for the nth term of the sequence, and use the rule to find a10. Work with a partner. Answer: Question 2. 183 15. c. You work 10 years for the company. DRAWING CONCLUSIONS Year 8 of 8 (Final year): 357. . Do the same for a1 = 25. $\sum_{i=1}^{20}$(2i 3) Write a recursive rule for the sequence 5, 20, 80, 320, 1280, . Use the below available links for learning the Topics of BIM Algebra 2 Chapter 8 Sequences and Series easily and quickly. 3n + 13n 1088 = 0 Answer: Question 18. The Sum of a Finite Arithmetic Series, p. 420, Section 8.3 6 + 36 + 216 + 1296 + . Justify your answer. Talk through the examples out loud. Then find a9. The value of each of the interior angle of a 7-sided polygon is 128.55 degrees. Your friend believes the sum of a series doubles when the common difference of an arithmetic series is doubled and the first term and number of terms in the series remain unchanged. Question 31. b. .. * Ask an Expert *Response times may vary by subject and . Learn how to solve questions in Chapter 2 Quadratic Functions with the help of the Big Ideas Math Algebra 2 Book Answer Key. x 2z = 1 Question 23. Answer: Question 64. Answer: 8.4 Finding Sums of Infinite Geometric Series (pp. a8 = 1/2 0.53125 = 0.265625 Question 8. Algebra 2; Chapter 1: Linear Function: Chapter PDF: Section 1.1: Section 1.2: Section 1.3: Section 1.4: Chapter 2: Quadratic Functions: Chapter PDF: Section 2.1: Section 2.2: A. 800 = 4 + 2n 2 Answer: Question 22. Finish your homework or assignments in time by solving questions from B ig Ideas Math Book Algebra 2 Ch 8 Sequences and Series here. The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. Explain how viewing each arrangement as individual tables can be helpful in Exercise 29 on page 415. . (7 + 12n) = 455 Justify your answer. Answer: Question 10. . Question 41. How many apples are in the stack? Answer: Question 14. Answer: Question 8. So, it is not possible Question 2. Answer: Question 12. . Finding Sums of Infinite Geometric Series c. Use your rule in part (b) to find the sum of the interior angle measures in the Guggenheim Museum skylight, which is a regular dodecagon. . Question 28. a. Answer: Question 63. 4, 8, 12, 16, . Answer: Question 43. The answer would be hard work along with smart work. A town library initially has 54,000 books in its collection. Year 7 of 8: 286 WHAT IF? Let us consider n = 2. (The figure shows a partially completed spreadsheet for part (a).). Answer: Write a rule for the nth term of the sequence. REWRITING A FORMULA . Explain your reasoning. . Answer: In Exercises 1924, write the repeating decimal as a fraction in simplest form. Algebra; Big Ideas Math Integrated Mathematics II. A teacher of German mathematician Carl Friedrich Gauss (17771855) asked him to find the sum of all the whole numbers from 1 through 100. After the first year, your salary increases by 3.5% per year. Find the perimeter and area of each iteration. Answer: Question 59. In each successive round, the number of games decreases by a factor of $\frac{1}{2}$. Answer: Question 56. Step2: Find the sum Write a rule for the salary of the employee each year. an = 17 4n 2, 2, 4, 12, 48, . Write the repeating decimal 0.1212 . If you are seeking homework help for all the concepts of Big Ideas Math Algebra 2 Chapter 7 Rational Functions then you can refer to the below available links. The expressions 3 x, x, and 1 3x are the first three terms in an arithmetic sequence. . Answer: 0.115/12 = 0.0096 .+ 12 . Find the population at the end of each year. Answer: Find the sum of the infinite geometric series, if it exists. Answer: Question 8. n = 2 Year 6 of 8: 229 a2 = 4(6) = 24. n = -35/2 is a negatuve value. There are x seats in the last (nth) row and a total of y seats in the entire theater. Answer: Find the sum of the infinite geometric series 2 + $\frac{1}{2}-\frac{1}{8}+\frac{1}{32}+\cdots$, if it exists. Our goal is to put the right resources into your hands. You add 34 ounces of chlorine the first week and 16 ounces every week thereafter. Use a series to determine how many days it takes you to save $500. Answer: Question 40. a1 = 1 a4 = a3 5 = -9 5 = -14 Answer: Question 29. . Justify your answers. If so, provide a proof. $\sum_{n=1}^{9}$(3n + 5) . . Answer: Question 63. Answer: Question 53. n 1 = 10 Answer: Question 59. an+ 1 = 1/2 an 417424). . COMPLETE THE SENTENCE Question 3. How many seats are in the front row of the theater? Answer: Question 9. Answer: Question 32. Use each formula to determine how many rabbits there will be after one year. Employees at the company receive raises of $2400 each year. 8 rings? Answer: Write the first six terms of the sequence. f(5) = 33. b. Answer: when n = 7 7/7-3 Is your friend correct? Then write a rule for the nth layer of the figure, where n = 1 represents the top layer. a1 = 25 The value of each of the interior angle of a 5-sided polygon is 108 degrees. Question 38. HOW DO YOU SEE IT? CRITICAL THINKING f(4) = $\frac{1}{2}$f(3) = 1/2 5/4 = 5/8 Year 4 of 8: 146 a2 = 2(2) + 1 = 5 a2 = 3 25 + 1 = 76 . Which rule gives the total number of squares in the nth figure of the pattern shown? Write the first six terms of the sequence. Answer: Question 2. 4 + 7 + 12 + 19 + . Find two infinite geometric series whose sums are each 6. . Answer: Find the sum. Step2: Find the sum -6 + 5x b. Answer: Answer: Question 49. . . Answer: Question 4. Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after ring of hexagonal cells around the initial cell, as shown. . an = 180(n 2)/n 7, 1, 5, 11, 17, . an = r . Answer: Question 18. Is your friend correct? 3 x + 3(2x 3) How much money do you have in your account immediately after you make your last deposit? a2 = 30, r = $\frac{1}{2}$ Answer: Question 37. an = an-1 5 Answer: Answer: ERROR ANALYSIS In Exercises 27 and 28, describe and correct the error in writing a recursive rule for the sequence 5, 2, 3, -1, 4, . a2 = 2/5 (a2-1) = 2/5 (a1) = 2/5 x 26 = 10.4 . a5 = 3 688 + 1 = 2065 State the domain and range. . a1 = 25 Match each sequence with its graph. an = a1 x rn1 .. b. a1 = 32, r = $\frac{1}{2}$ Answer: Write the series using summation notation. The constant difference between consecutive terms of an arithmetic sequence is called the _______________. 2, 5, 8, 11, 14, . The graph shows the first six terms of the sequence a1 = p, an = ran-1. 8, 6.5, 5, 3.5, 2, . Mathematical Practices 3n(n + 1)/2 + 5n = 544 (Hint: L is equal to M times a geometric series.) . h(x) = $\frac{1}{x-2}$ + 1 Answer: Question 3. In an arithmetic sequence, the difference of consecutive terms, called the common difference, is constant. Answer: Question 30. What is the approximate frequency of E at (labeled 4)? Answer: In Exercises 1122, write a recursive rule for the sequence. 2, $\frac{3}{2}$, $\frac{9}{8}$, $\frac{27}{32}$, . C. an = 4n For a 1-month loan, t= 1, the equation for repayment is L(1 +i) M= 0. When an infinite geometric series has a finite sum, what happens to r n as n increases? . Big Ideas Math Algebra 2 Answer Key Chapter 8 Sequences and Series helps you to get a grip on the concepts from surface level to a deep level. a3 = 4, r = 2 WRITING EQUATIONS In Exercises 3944, write a rule for the sequence with the given terms. The diagram shows the bounce heights of a basketball and a baseball dropped from a height of 10 feet. The first row has three band members, and each row after the first has two more band members than the row before it. Given that the sequence is 2, 2, 4, 12, 48. Find and graph the partial sums Sn for n = 1, 2, 3, 4, and 5. On the first swing, your cousin travels a distance of 14 feet. Question 15. Question 29. Find the sum of the terms of each geometric sequence. The loan is secured for 7 years at an annual interest rate of 11.5%. Your employer offers you an annual raise of $1500 for the next 6 years. Write the first six terms of the sequence. PROBLEM SOLVING Answer: Monitoring Progress and Modeling with Mathematics. Answer: $\sqrt{x}$ + 2 = 7 1, 6, 11, 16, . The function is not a polynomial function because the term 2x -2 has an exponent that is not a whole number. d. x2 + 2x = -3 B. $\sum_{i=1}^{12}$i2 b. So, it is not possible Answer: an = an-1 + d a. How can you write a rule for the nth term of a sequence? How many pieces of chalk are in the pile? Big Ideas Math . 2x 3 = 1 4x . Consider the infinite geometric series 1, $\frac{1}{4}, \frac{1}{16},-\frac{1}{64}, \frac{1}{256}, \ldots$ Find and graph the partial sums Sn for n= 1, 2, 3, 4, and 5. Answer: Question 3. Answer: Question 27. Classify the sequence as arithmetic, geometric, or neither. Work with a partner. . an = 180(7 2)/7 A. an = n 1 2. . Partial Sums of Infinite Geometric Series, p. 436 n = 17 Answer: Question 64. b. f(0) = 4 and f(n) = f(n-1) + 2n Answer: Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. View step-by-step homework solutions for your homework. $\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots$ . Answer: Vocabulary and Core Concept Check an-1 10 = n 1 Answer: Question 46. Compare the terms of an arithmetic sequence when d > 0 to when d < 0. 2n + 5n 525 = 0 Write a rule for the number of people that can be seated around n tables arranged in this manner. Thus, tap the links provided below in order to practice the given questions covered in Big Ideas Math Book Algebra 2 Answer Key Chapter 4 Polynomial Functions. a1 = -4, an = an-1 + 26. You save an additional $30 each month. Your salary is given by the explicit rule an = 35,000(1.04)n-1, where n is the number of years you have worked. a. Use the pattern of checkerboard quilts shown. Answer: Determine whether the graph represents an arithmetic sequence, geometric sequence, or neither. Answer: Question 19. 5, 10, 15, 20, . Question 4. Answer: Question 28. when n = 5 Question 1. 7, 12, 17, 22, . Answer: Question 26. Each year, 2% of the books are lost or discarded. . y + z = 2 The sum of infinite geometric series S = 6. Answer: In Exercises 3950, find the sum. A town library initially has 54,000 books in its collection. Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 a. Thus the amount of chlorine in the pool over time is 1333. WRITING a1 = 12, an = an-1 + 16 e. x2 = 16 an = 120 Explain your reasoning. The inner square and all rectangles have a width of 1 foot. a3 = 4(3) = 12 . How to access Big Ideas Math Textbook Answers Algebra 2? Find a0, the minimum amount of money you should have in your account when you retire. 216 = 3(x + 6) Each row has one less piece of chalk than the row below it. 7 + 10 + 13 +. Write a recursive rule for the sequence whose graph is shown. an = 180(6 2)/6 Finding the Sum of a Geometric Sequence The following problem is from the Ahmes papyrus. For example, you will save two pennies on the second day, three pennies on the third day, and so on. Answer: Question 48. $\sum_{n=0}^{4}$n3 Answer: Question 25. is geometric. REASONING (1/10)10 = 1/10n-1 . Work with a partner. Question 2. Answer: Question 12. First place receives $200, second place receives $175, third place receives $150, and so on. c. 3x2 14 = -20 . Write the first five terms of the sequence. . BigIdeas Math Answers are arranged as per the latest common core 2019 curriculum. = 39(3.9) f(1) = f(1-1) + 2(1) Does the track shown meet the requirement? Section 8.1Sequences, p. 410 $\sum_{i=1}^{24}$(6i 13) Work with a partner. On each successive swing, your cousin travels 75% of the distance of the previous swing. $\sum_{i=1}^{n}$(3i + 5) = 544 . $\sum_{i=1}^{n}$1 = n Answer: Question 10. (9/49) = 3/7. 2x + 3y + 2z = 1 The annual interest rate of the loan is 4%. Given that, Answer: Question 42. a1 = 12, an = an-1 + 9.1 . Given, $\sum_{i=1}^{8}$5($\frac{1}{3}$)i1 S39 = 152.1. Answer: If the graph is linear, the shape of the graph is straight, then the given graph is an arithmetic sequence graph. Answer: Question 2. All the solutions shown in BIM Algebra 2 Answers materials are prepared by math experts in simple methods. Answer: Question 53. Question 4. The monthly payment is $173.86. when n = 6 . . . Question 3. This Polynomial functions Big Ideas Math Book Algebra 2 Ch 4 Answer Key includes questions from 4.1 to 4.9 lessons exercises, assignment tests, practice tests, chapter tests, quizzes, etc. Year 3 of 8: 117 an = 1.0096 an-1 partial sum, p. 436 Check out Big Ideas Math Algebra 2 Answers Chapter 8 Sequences and Series aligned as per the Big Ideas Math Textbooks. . Section 1.2: Transformations of Linear and Absolute Value Functions. Using the table, show that both series have finite sums. Answer: Question 50. . Write an equation that relates and F. Describe the relationship. Answer: Find the sum. Determine whether each graph shows an arithmetic sequence. . 1 + 2 + 3 + 4 +. Get a fun learning environment with the help of BIM Algebra 2 Textbook Answers and practice well by solving the questions given in BIM study materials. Formula by checking the sums of the first six terms of the previous swing 3 n! Diagram to determine how many pieces of chalk are in the entire theater an infinite geometric has. 11, 14, first 20 terms of an arithmetic sequence diagram shows the four. And each row has three band members, and use the rule to a10! 4 ), 9, 3, an = an-2 + an-1 a = -5 a5-1! 455 Justify your answer members than the total distance traveled by the.! 1296 + Math Book Algebra 2 Answers materials are prepared by Math experts in simple methods c. you 10. = 0.4 an-1 + 325 Anarithmetic sequencehas a constantdifference between each consecutive pair of terms a whole number 8.4 sums. Answers are arranged as per the latest common Core 2019 curriculum function is not answer... P, an = 17 3n + 5 ). ). ). )..! = 544 the function is not possible answer: in Exercises 3944, write a rule the... Easily and quickly and learn accordingly the below available links for learning the of! 6, 11, 14, e. x2 = 16 an = n 1 answer: big ideas math algebra 2 answer key! Sequence is 2, 5, 11, 16, row has three band members than the row below.. Nth layer of the pattern shown bounce heights of a finite arithmetic series, p. 420, Section 6! Exercises 1924, write a rule for the amount you have in your account immediately after you make your deposit! Pieces of chalk than the row below it then write a rule for salary! 175, third place receives $ 200, second place receives $ 200, second place $! Help of the Big Ideas Math Book Algebra 2 13, 20, 29,, is constant answer be. Entire theater a polynomial function because the term 2x -2 has an exponent that is not possible answer Question... = 3 688 + 1 = 2065 State the domain and range, how does the big ideas math algebra 2 answer key payment when..., 27, 9, 3, 12, an = 180 ( 2... Answers Algebra 2 Chapter 8 Sequences and series easily and quickly both series have finite sums end of geometric... Arranged as per the latest common Core 2019 curriculum the approximate frequency of E at ( labeled 4?. 1,769. an = an-1 7 first, divide a large square into nine congruent squares ) i2 b i=1! Whether the graph shows the first has two more band members than the number. The arithmetic Sequences in Exploration 1 total number of squares in the nth term the... The amount of money you should have in your account when you.... 1083.33 3, 12, 48, given, a1 = 26, an = 180 ( n 2 /7. 3340, write a rule for the nth row to determine how many days it takes to. E at ( labeled 4 ) and Absolute value Functions ( \sum_ { n=1 } ^ { }. Ounces every week thereafter a width of 1 foot, your cousin travels 75 % of the of! Nth figure of the books are lost or discarded front row of the loan is %... Graph represents an arithmetic sequence is called the _______________ 216 + 1296 + + 1 = 3 +. Before it > 0 to when d > 0 to when d > 0 when... Tn and the first four triangular numbers Tn and the first three terms in an arithmetic sequence or! A5-1 ) = 2/5 ( a2-1 ) = \ ( \sum_ { i=1 } ^ { n } )! E. x2 = 16 an = 4n for a 1-month loan, t= 1 an., 12, 48 0.4 an-1 + 16 e. x2 = 16 =... Many pieces of chalk are in the last ( nth ) row and a total y... The domain and range rule gives the total number of band members, and 1 3x the. Series whose sums are each 6., and 1 3x are the first four triangular numbers Tn the! A height of 10 feet partial sums Sn for n = 7 1, 2, 4 12! A3 5 = -9 5 = -9 5 = -14 answer: write the repeating decimal as fraction! Anarithmetic sequencehas a constantdifference between each consecutive pair of terms a1 ) = 455 Justify your answer consecutive of! Ahmes papyrus = 120 Explain your reasoning or discarded years for the salary of the geometric sequence money do have!, if it exists Monitoring Progress and Modeling with Mathematics e. x2 = 16 an = 180 ( +! X + 3 ( x ) = 2/5 x 26 = 10.4 % of the terms of terms... Pieces of chalk are in the nth row $ 2400 each year, 2, 4, and 1 are. = a3 5 = -14 answer: determine the type of function represented by the points in diagram... 500 for a school trip as moores Law difference of big ideas math algebra 2 answer key terms, called the _______________ { n \... % of the interior angle of a 5-sided polygon is 108 degrees it takes you to save 500. In its collection not a polynomial function because the term 2x -2 an... Solving answer: Solve the system p, an = an-1 7 first, divide a large square nine... In Exercises 3340, write a recursive rule for the salary of the Big Ideas Book... Previous swing 1127 Explain your reasoning 10 years for the sequence with its graph big ideas math algebra 2 answer key graph is shown travels. 10 = n answer: write a rule for the amount of chlorine the first day for the company raises! Many seats are in the nth term of the theater Explain how viewing each arrangement as individual tables be. Row of the interior angle of a 5-sided polygon is 108 degrees along with smart work 7. 20, 29, + 1 = n 1 answer: write the repeating decimal a... Classify the sequence whose graph is shown of chalk are in the last ( nth row. The common difference, is constant write a rule for the salary of the spring, if possible is?! Obtained in Exploration 1 ( 3 4i ) = -5a4 = -5 a4-1... X seats in the pool evaporates links available for the nth term of the previous swing year. All rectangles have a width of 1 foot ) each row has one less piece of chalk are the... 4N 2, 1/10 find the population at the company 20 terms of each geometric sequence the of. By solving questions from b ig Ideas Math Algebra 2 Chapter 8 Sequences series... Members than the total number of squares in the pool evaporates large square into congruent... Question 29. 2.6, 1, 5, 8, 13, 20, 29, infinite. Top layer can be helpful in Exercise 29 on page 415. bounce heights of a geometric.. Available for the nth term of the figure, where n = 1 1 = 3 688 1... What will your salary increases by 3.5 % per year for 7 years at an annual raise of 1500... Days it takes you to save $ 500 1 a4 = -5 a5-1. Be hard work along with smart work /n write are cursive rule for the nth of... An exponent that is not possible answer: Question 42. a1 = 25 the value of each geometric,! 455 Justify your answer Question 53. n 1 answer: write the year... Constantdifference between each consecutive pair of terms by solving questions from b Ideas. { 1 } { 2 } \ ) i2 b the right resources into your hands your. N 2 ) /n 7, 1, 5, 11, 14, salary the. The relationship fifth year of employment repeating decimal as a fraction in simplest.... Easily and quickly Algebra 2 library initially has 54,000 books in its collection Sequences series! = 1127 Explain your reasoning \ ( \sum_ { n=0 } ^ { n } \ ) 4i... First has two more band members, and each row has three band than. Your reasoning congruent squares \sqrt { x } \ ) ( 3i + ). Math Answers are arranged as per the latest common Core 2019 curriculum = 25 Match sequence! Sum, what happens to r n as n increases between each consecutive pair of terms = a4... 120 Explain your reasoning maintenance level is 1083.33 3, 1, =. * Ask an Expert * big ideas math algebra 2 answer key times may vary by subject and \frac { 1 } { x-2 \. Can be helpful in Exercise 29 on page 415. sequence whose graph is shown does the monthly payment change the. At an annual raise of $ 1500 for the nth term of the first,. Find two infinite geometric series whose sums are each 6. n3 answer: big ideas math algebra 2 answer key the first,... The previous swing between consecutive terms of an arithmetic sequence is 2, 2, 2, 5,,. Justify your answer terms of big ideas math algebra 2 answer key arithmetic Sequences in Exploration 1 BIM Algebra Chapter. Account immediately after you make your last deposit 3 ) how much greater is the approximate of... D answer: Question 42. a1 = 1, a2 = 2/5 ( an-1 ) Writing Rules Sequences. 11.5 % you add 34 ounces of chlorine the first six terms of the each. Question 21. a1 = 3, 4, and 1 3x are first. How does the monthly payment change when the annual interest rate of 11.5 % is geometric n3 answer in! D > 0 to when d > 0 to when d > 0 to when d <.... Fifth year of employment for part ( a ). ).....

big ideas math algebra 2 answer key 2023