Explanation Given: a 17 = - 40 , and a 28 = - 73 Concept: A sequence in which each term after the first term is found by adding the same number to the preceding term is an arithmetic sequence and is written as a n + 1 = a n + d for any integer n ≥ 1 where d is the common difference. The formula to find the nth term of an arithmetic sequence is a n = a 1 + ( n - 1 ) d , for any integer n ≥ 1 The given are a 17 = - 40 , and a 28 = - 73 Substituting n = 17 , and a 17 = - 40 , in the formula a n = a 1 + ( n - 1 ) d we get, a 17 = a 1 + ( 17 - 1 ) d - 40 = a 1 + 16 d _________ (1) Substituting n = 28 , and a 28 = - 73 , in the formula a n = a 1 + ( n - 1 ) d we get, a 28 = a 1 + ( 28 - 1 ) d - 73 = a 1 + 27 d ________ (2) Subtracting equation (1) from (2) we have - 73 - - 40 = a

College Algebra Plus Mylab Math With Pearson Etext -- Access Card Package (5th Edition) (beecher, Penna, & Bittinger, The College Algebra Series, 5th Edition)

5th Edition

ISBN: 9780321981769

Author: Judith A. Beecher, Judith A. Penna, Marvin L. Bittinger

Publisher: PEARSON

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Chapter 8.2, Problem 22E

To determine

To find:

The first term a1 and the common difference and also the first 5 terms of an arithmetic sequence if the terms a17 and a28 of are given.

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Chapter 8.2, Problem 21E

Chapter 8.2, Problem 23E

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Chapter 8 Solutions

College Algebra Plus Mylab Math With Pearson Etext -- Access Card Package (5th Edition) (beecher, Penna, & Bittinger, The College Algebra Series, 5th Edition)

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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The first term a 1 and the common difference and also the first 5 terms of an arithmetic sequence if the terms a 17 and a 28 of are given.

To find: The first term a1 and the common difference and also the first 5 terms of an arithmetic sequence if the terms a17 and a28 of are given.

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Chapter 8 Solutions

To find:

The first term a1 and the common difference and also the first 5 terms of an arithmetic sequence if the terms a17 and a28 of are given.