Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
14th Edition
ISBN: 9780134668574
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker
Publisher: PEARSON
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Textbook Question
Chapter B.1, Problem 27E
In Problems 27–42, find the general term of a sequence whose first four terms agree with the given terms.
27. –2, –1, 0, 1, …
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3. Match each sequence with one of the recursive definitions. Note that only the part of
the definition showing the relationship between the current term and the previous
term is given so as not to give away the solutions.
А. 3, 15, 75, 375
1. a(n) = = · a(n – 1)
3
В. 18, 6, 2, —
2. b(n) = b(n – 1) – 4
3
C. 1, 2, 4, 7
3. c (п) 3 5 . с(п - 1)
D. 17, 13, 9, 5
4. d(n) %3D
d(n – 1) + n + 1
In Problems 1–4, write down the first five terms of each sequence
In Problems 31–38, find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for thesequence. Find a formula for the nth term.31. 8th term is 8; 20th term is 44
32. 4th term is 3; 20th term is 35
33. 9th term is - 5; 15th term is 31
34. 8th term is 4; 18th term is - 96
35. 15th term is 0; 40th term is - 50
36. 5th term is - 2; 13th term is 30
37. 14th term is - 1; 18th term is - 9
38. 12th term is 4; 18th term is 28
Chapter B.1 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Ch. B.1 - Write the first four terms of each sequence: (A)...Ch. B.1 - Find the general term of a sequence whose first...Ch. B.1 - Write k=15k+1k without summation notation. Do not...Ch. B.1 - Write the alternating series 113+19127+181 using...Ch. B.1 - Find the arithmetic mean of 9, 3, 8, 4, 3, and 6.Ch. B.1 - Prob. 1ECh. B.1 - Write the first four terms for each sequence in...Ch. B.1 - Prob. 3ECh. B.1 - Write the first four terms for each sequence in...Ch. B.1 - Write the first four terms for each sequence in...
Ch. B.1 - Write the first four terms for each sequence in...Ch. B.1 - Write the 10th term of the sequence in Problem 1....Ch. B.1 - Write the 15th term of the sequence in Problem 2....Ch. B.1 - Write the 99th term of the sequence in Problem 3....Ch. B.1 - Prob. 10ECh. B.1 - Prob. 11ECh. B.1 - In Problems 1116, write each series in expanded...Ch. B.1 - In Problems 1116, write each series in expanded...Ch. B.1 - Prob. 14ECh. B.1 - Prob. 15ECh. B.1 - Prob. 16ECh. B.1 - Find the arithmetic mean of each list of numbers...Ch. B.1 - Prob. 18ECh. B.1 - Find the arithmetic mean of each list of numbers...Ch. B.1 - Prob. 20ECh. B.1 - Write the first five terms of each sequence in...Ch. B.1 - Write the first five terms of each sequence in...Ch. B.1 - Write the first five terms of each sequence in...Ch. B.1 - Write the first five terms of each sequence in...Ch. B.1 - Write the first five terms of each sequence in...Ch. B.1 - Write the first five terms of each sequence in...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - Prob. 32ECh. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - Prob. 34ECh. B.1 - Prob. 35ECh. B.1 - Prob. 36ECh. B.1 - Prob. 37ECh. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - In Problems 2742, find the general term of a...Ch. B.1 - Write each series in Problems 4350 in expanded...Ch. B.1 - Write each series in Problems 4350 in expanded...Ch. B.1 - Write each series in Problems 4350 in expanded...Ch. B.1 - Write each series in Problems 4350 in expanded...Ch. B.1 - Write each series in Problems 4350 in expanded...Ch. B.1 - Prob. 48ECh. B.1 - Prob. 49ECh. B.1 - Write each series in Problems 4350 in expanded...Ch. B.1 - Write each series in Problems 5154 using summation...Ch. B.1 - Write each series in Problems 5154 using summation...Ch. B.1 - Write each series in Problems 5154 using summation...Ch. B.1 - Write each series in Problems 5154 using summation...Ch. B.1 - Write each series in Problems 5558 using summation...Ch. B.1 - Write each series in Problems 5558 using summation...Ch. B.1 - Write each series in Problems 5558 using summation...Ch. B.1 - Write each series in Problems 5558 using summation...Ch. B.1 - In Problems 5962, discuss the validity of each...Ch. B.1 - In Problems 5962, discuss the validity of each...Ch. B.1 - In Problems 5962, discuss the validity of each...Ch. B.1 - Prob. 62ECh. B.1 - Prob. 63ECh. B.1 - Some sequences are defined by a recursion...Ch. B.1 - Some sequences are defined by a recursion...Ch. B.1 - Some sequences are defined by a recursion...Ch. B.1 - If A is a positive real number, the terms of the...Ch. B.1 - Prob. 68ECh. B.1 - The sequence defined recursively by a1 = 1, a2 =...Ch. B.1 - The sequence defined by bn=55(1+52)n is related to...
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