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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Chapter B.1, Problem 3E
To determine
To write: The first four terms of the sequence
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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
In Problems 25–30, find the indicated term in each arithmetic sequence
1. Write down the first five terms of the sequence given by:
an = (-1)^n+1 / n
2. Find the common difference of the problem below:
"Write down the 9th and 21th terms of the sequences of Arithmetic:
a. 8,11,14,...,
b. 8,5,2...
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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- In Problems 69–82, determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find thecommon difference; if it is geometric, find the common ratio. If the sequence is arithmetic or geometric, find the sum of the first 50 termsarrow_forwardIn Problems 1–4, write down the first five terms of each sequencearrow_forwardIn Problems 6–11, determine whether the given sequence is arithmetic,geometric, or neither. If the sequence is arithmetic, find thecommon difference and the sum of the first n terms. If the sequenceis geometric, find the common ratio and the sum of the first n termsarrow_forward
- Problem 3. Suppose that 81, 82, 83,... is a strictly increasing sequence of positive integers such that the subsequences 801, 82, 802... and 881+1, 82+1, 883+1,... are both arithmetic progressions. Prove that the sequence 81, 82, 83,... is itself an arithmetic pro- gression.arrow_forward30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.arrow_forward3, 7, 11, 15... Answer the following questions (part a in this problem and part b in the next) in regard to the sequence given above: a) What is term number 35 ?arrow_forward
- .A sequence can be generated by using an = a(n-1) + 6, where a = 3 and n is a whole number greater than 1. %3D What are the first four terms in the sequence?arrow_forward# 33 Find the sum of the first 100 even non-zero whole numbers.arrow_forward2. F.IF.6 Write an equation for the nth term of the sequence 8, 32, 128, 512. a, = 8(4)"-1 4(8)"-1 an = A. B. An = 8(4)" %3D an 4(8)" c. D. Type here to search 1Oarrow_forward
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