big ideas math algebra 2 answer keybig ideas math algebra 2 answer key

Answer: Question 27. One term of an arithmetic sequence is a8 = 13. Write the first five terms of the sequence. a39 = -4.1 + 0.4(39) = 11.5 2x 2y + z = 5 51, 48, 45, 42, . . Question 11. 5998 Each year, 10% of the trees are harvested and 800 seedlings are planted. 2: Teachers; 3: Students; . Tn = 180 10 an = (n-1) x an-1 Write a rule for the salary of the employee each year. The first term is 72, and each term is \(\frac{1}{3}\) times the previous term. n = 15. Here is what Gauss did: How many pieces of chalk are in the pile? a2 = 3a1 + 1 You and your friend are comparing two loan options for a $165,000 house. The number of cells in successive rings forms an arithmetic sequence. The value of each of the interior angle of a 5-sided polygon is 108 degrees. 8 x 2197 = -125 7, 1, 5, 11, 17, . . -3(n 2) 2(n 2) (n + 3) = 507 Answer: Question 50. 16, 9, 7, 2, 5, . 7x=31-3 By practicing the problems from our answer key students can prove their best in all types of exams like practice tests, FAs, Quiz, Chapter tests . The number of cans in each row is represented by the recursive rule a1 = 20, an = an-1 2. C. an = 4n 1, 4, 5, 9, 14, . Answer: Question 16. a 1+1 = 1/2a1 Justify your answer. b. Answer: Question 53. . , 10-10 a. tn = a + (n 1)d (1/10)n-1 Answer: Question 8. .+ 100 Answer: Question 14. Transformations of Linear and Absolute Value Functions p. 11-18 Answer: 8.4 Finding Sums of Infinite Geometric Series (pp. a5 = a5-1 + 26 = a4 + 26 = 74 + 26 = 100. Answer: Write a rule for the nth term of the sequence. a4 = 2/5 (a4-1) = 2/5 (a3) = 2/5 x 4.16 = 1.664 The annual interest rate of the loan is 4%. COMPLETE THE SENTENCE Sn = a1\(\left(\frac{1-r^{n}}{1-r}\right)\) an = an-1 5 an= \(\frac{1}{2}\left(\frac{1}{4}\right)^{n-1}\) a1 = 2 Question 55. MAKING AN ARGUMENT WHICH ONE DOESNT BELONG? Answer: Then write a rule for the nth term. \(\sum_{k=3}^{7}\)(k2 1) Write an explicit rule for the sequence. In 1202, the mathematician Leonardo Fibonacci wrote Liber Abaci, in which he proposed the following rabbit problem: Answer: Question 56. Answer: Question 12. Answer: Question 3. Year 3 of 8: 117 \(\sum_{i=1}^{n}\)(3i + 5) = 544 \(\frac{2}{3}, \frac{2}{6}, \frac{2}{9}, \frac{2}{12}, \ldots\) -4(n)(n + 1)/2 n = -1127 Justify your Use Archimedes result to find the area of the region. b. COMPLETE THE SENTENCE Question 4. Answer: Answer: Question 64. 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. Describe how the structure of the equation presented in Exercise 40 on page 448 allows you to determine the starting salary and the raise you receive each year. an = 180(n 2)/n Explain your reasoning. For a display at a sports store, you are stacking soccer balls in a pyramid whose base is an equilateral triangle with five layers. Answer: Find the sum. What are your total earnings in 6 years? 1, 3, 9, 27, . Answer: Write a recursive rule for the sequence. f(0) = 4 Answer: Question 3. Question 66. Question 59. n = 17 an = 90 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. The degree of a polynomial is the highest exponent of a term. Answer: Question 19. Answer: Question 14. The graph of the exponential decay function f(x) = bx has an asymptote y = 0. Answer: Question 29. Answer: Question 40. a. Answer: Question 63. Answer: Question 56. a1 = 1 Describe what happens to the values in the sequence as n increases. ISBN: 9781680330687. The monthly payment is $213.59. Recursive: a1 = 1, a2 = 1, an = an-2 + an-1 Answer: Question 6. Answer: Question 2. Answer: Vocabulary and Core Concept Check COMPARING METHODS Answer: Question 26. Write are cursive rule for the amount you have saved n months from now. B. an = 35 + 8n \(\left(\frac{9}{49}\right)^{1 / 2}\) . Question 9. The process involves removing smaller squares from larger squares. . a1 = 3, an = an-1 6 Write an explicit rule for the number of cans in row n. Question 1. Answer: Question 37. Answer: Question 26. b. a3 = 4(24) = 96 5.8, 4.2, 2.6, 1, 0.6 . Answer: Sn = 16383 Question 67. He reasoned as follows: .. Explain your reasoning. Write a recursive rule that is different from those in Explorations 13. Then graph the first six terms of the sequence. For example, you will save two pennies on the second day, three pennies on the third day, and so on. Question 21. An online music service initially has 50,000 members. The following problem is from the Ahmes papyrus. Answer: Answer: Question 35. Access the user-friendly solutions . 3n 6 + 2n + 2n 12 = 507 . Given that, Question 7. Answer: Question 28. a3 = 4 = 2 x 2 = 2 x a2. Big Ideas Math Book Algebra 2 Answer Key Chapter 3 Quadratic Equations and Complex Numbers. An employee at a construction company earns $33,000 for the first year of employment. a4 = a4-1 + 26 = a3 + 26 = 48 + 26 = 74. a. Complete homework as though you were also preparing for a quiz. Answer: Question 3. Then graph the first six terms of the sequence. \(\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+\cdots\) Answer: Question 10. You have saved $82 to buy a bicycle. THOUGHT PROVOKING Given, REWRITING A FORMULA a. Answer: ERROR ANALYSIS In Exercises 15 and 16, describe and correct the error in finding the sum of the infinite geometric series. . Explain. Answer: Question 15. \(2+\frac{4}{3}+\frac{8}{9}+\frac{16}{27}+\frac{32}{81}+\cdots\) Find and graph the partial sums Sn for n = 1, 2, 3, 4, and 5. . 0, 1, 3, 7, 15, . Answer: Vocabulary and Core Concept Check an = 3 + 4n In this section, you learned the following formulas. a3 = 3/2 = 9/2 . Write a recursive rule for your salary. a1 = 32, r = \(\frac{1}{2}\) \(\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \ldots\) f(0) = 10 Which graph(s) represents an arithmetic sequence? 4 52 25 = 15 You take out a 5-year loan for $15,000. . Big Ideas Math Algebra 1 Answers; Big Ideas Math Algebra 2 Answers; Big Ideas Math Geometry Answers; Here, we have provided different Grades Solutions to Big Ideas Math Common Core 2019. .+ 40 Answer: Question 30. Improve your performance in the final exams by practicing the Big Ideas Math Algebra 2 Answers Ch 8 Sequences and Series on a daily basis. a3 = 2/5 (a3-1) = 2/5 (a2) = 2/5 x 10.4 = 4.16 Use finite differences to find a pattern. Answer: Core Vocabulary Answer: Question 27. n = 23. c. \(\sum_{i=5}^{n}\)(7 + 12i) = 455 Use the rule for the sum of a finite geometric series to write each polynomial as a rational expression. Sixty percent of the drug is removed from the bloodstream every 8 hours. Explain. Question 5. . \(\frac{2}{3}, \frac{4}{4}, \frac{6}{5}, \frac{8}{6}, \ldots\) The loan is secured for 7 years at an annual interest rate of 11.5%. 2, 5, 10, 50, 500, . Moores prediction was accurate and is now known as Moores Law. C. an = 51 8n Question 1. Which rule gives the total number of squares in the nth figure of the pattern shown? an = 180/3 = 60 Step2: Find the sum Let us consider n = 2 . a1 = 34 Tell whether the sequence is geometric. C. 1010 Work with a partner. 12, 20, 28, 36, . 1000 = 2 + n 1 \(\sum_{i=1}^{7}\)16(0.5)t1 a3 = a3-1 + 26 = a2 + 26 = 22 + 26 = 48. f(3) = 15. Explain how viewing each arrangement as individual tables can be helpful in Exercise 29 on page 415. b. At the end of each month, you make a payment of $300. 1, 6, 11, 16, . Is your friend correct? Ageometric sequencehas a constant ratiobetweeneach pair of consecutive terms. a4 = -5(a4-1) = -5a3 = -5(-200) = 1000. ABSTRACT REASONING . . MODELING WITH MATHEMATICS b. Answer: Question 14. . The sum of infinite geometric series S = 6. a2 = a2-1 + 26 = a1 + 26 = -4 + 26 = 22. partial sum, p. 436 Let us consider n = 2. Answer: Question 4. Year 5 of 8: 183 \(\sqrt{x}\) + 2 = 7 Sum = a1(1 r) Answer: For a regular n-sided polygon (n 3), the measure an of an interior angle is given by an = \(\frac{180(n-2)}{n}\) You make a $500 down payment on a $3500 diamond ring. Answer: The first four triangular numbers Tn and the first four square numbers Sn are represented by the points in each diagram. . \(\sum_{n=1}^{5}\)(n2 1) The first 22 terms of the sequence 17, 9, 1, 7, . . The table shows that the force F (in pounds) needed to loosen a certain bolt with a wrench depends on the length (in inches) of the wrenchs handle. . . A recursive _________ tells how the nth term of a sequence is related to one or more preceding terms. Answer: Question 37. Answer: Question 66. . . . 1, 4, 7, 10, . THOUGHT PROVOKING . A sequence is an ordered list of numbers. \(\sum_{i=0}^{8}\)8(\(\frac{2}{3}\))i You accept a job as an environmental engineer that pays a salary of $45,000 in the first year. Answer: Question 14. Answer: Question 14. Is your friend correct? Explain your reasoning. -1 + 2 + 7 + 14 + .. The formation for R = 2 is shown. Question 1. 3n(n + 1)/2 + 5n = 544 b. . One term of an arithmetic sequence is a12 = 19. After doing deep research and meets the Common Core Curriculum, subject experts solved the questions covered in Big Ideas Math Book Algebra 2 Solutions Chapter 11 Data Analysis and Statistics in an explanative manner. Answer: Question 2. a4 = a + 3d If not, provide a counterexample. Question 29. .What is the value of \(\sum_{n=1}^{\infty}\)an ? A quilt is made up of strips of cloth, starting with an inner square surrounded by rectangles to form successively larger squares. . y= 2ex Check out the modules according to the topics from Big Ideas Math Textbook Algebra 2 Ch 3 Quadratic Equations and Complex Numbers Solution Key. b. . Answer: Question 48. 1000 = 2 + (n 1)1 Write a rule for the sequence giving the sum Tn of the measures of the interior angles in each regular n-sided polygon. D. 10,000 Answer: Question 54. x = 2/3 Justify your answer. With the help of step-by-step explanative . a6 = 4( 1,536) = 6,144, Question 24. Question 10. Answer: Question 19. . Mathematical Practices Find the balance after the fifth payment. Find both answers. What is the total distance your cousin swings? You sprain your ankle and your doctor prescribes 325 milligrams of an anti-in ammatory drug every 8 hours for 10 days. \(\sum_{i=1}^{5}\) 8i b. \(\sum_{i=1}^{39}\)(4.1 + 0.4i ) . a2 = 2 = 1 x 2 = 1 x a1. On January 1, you deposit $2000 in a retirement account that pays 5% annual interest. . . Then graph the sequence. Question 1. e. 5, 5, 5, 5, 5, 5, . The length1 of the first loop of a spring is 16 inches. THOUGHT PROVOKING 112, 56, 28, 14, . What do you notice about the graph of an arithmetic sequence? 6, 24, 96, 384, . n 1 = 10 an = 180(n 2)/n How did understanding the domain of each function help you to compare the graphs in Exercise 55 on page 431? Is your friend correct? DRAWING CONCLUSIONS -6 + 10/3 Your friend claims that 0.999 . Find the value of x and the next term in the sequence. a. c. \(\frac{1}{4}, \frac{4}{4}, \frac{9}{4}, \frac{16}{4}, \frac{25}{4}, \ldots\) . \(\sum_{i=1}^{41}\)(2.3 + 0.1i ) (1/10)10 = 1/10n-1 Big Ideas Math Book Algebra 2 Answer Key Chapter 1 Linear Functions. Answer: In Exercises 4752, find the sum. Answer: Compare the graph of an = 3n + 1, where n is a positive integer, with the graph of f(x) = 3x+ 1, where x is a real number. a1 + a1r + a1r2 + a1r3 +. Answer: Question 22. \(\frac{1}{4}+\frac{2}{5}+\frac{3}{6}+\frac{4}{7}+\cdots\) 2, 0, 3, 7, 12, . Answer: Question 17. 2 + \(\frac{2}{6}+\frac{2}{36}+\frac{2}{216}+\frac{2}{1296}+\cdots\) . The common difference is 6. Section 8.4 b. MODELING WITH MATHEMATICS Answer: Question 51. Find the first 10 primes in the sequence when a = 3 and b = 4. If n = 1. .+ 15 MODELING WITH MATHEMATICS Your friend says it is impossible to write a recursive rule for a sequence that is neither arithmetic nor geometric. Question 8. , an, . (n 9) (6n + 67) = 0 So, it is not possible Boswell, Larson. . nth term of a sequence Question 71. Answer: Write the series using summation notation. Answer: Question 25. .. Answer: Question 10.

Suny Downstate Md Program Tuition, Articles B