College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.2 - Page 724: 30

Answer

Formula for $a_{n}$ term of the given sequence = $a_{1}$ + (n - 1) d. Where $a_{1}$ = The first term d = Common difference n = $n^{th}$ number of term Given $a_{1}$, the first term = (-70) Common difference (d) = (-5) $20^{th}$ term of sequence = -165

Work Step by Step

Formula for $a_{n}$ term of the given sequence = $a_{1}$ + (n - 1) d. Where $a_{1}$ = The first term d = Common difference n = $n^{th}$ number of term Given $a_{1}$, the first term = (-70) Common difference (d) = (-5) $20^{th}$ term of sequence = -70 + (20 - 1) $\times$ (-5) = -70 + 19$\times$(-5) = -70 -95 = -165
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