College Algebra (6th Edition)

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

Chapter 8 - Mid-Chapter Check Point - Page 743: 2

Answer

First term (put n = 1) $a_{1}$ = 5 Second term (put n = 2) $a_{2}$ = 2 Third term (put n = 3) $a_{3}$ = -1 Fourth term (put n = 4) $a_{4}$ = -4 Fifth term (put n = 5) $a_{5}$ = -7

Work Step by Step

Given $a_{1}$ = 5, d = -3 We know $a_{n}$ = $a_{1}$ + (n - 1)d First term (put n = 1) $a_{1}$ = 5 + (1 - 1)(-3) = 5 Second term (put n = 2) $a_{2}$ = 5 + (2 - 1)(-3) = 5 - 3 = 2 Third term (put n = 3) $a_{3}$ = 5 + (3 - 1)(-3) = 5 - 6 = -1 Fourth term (put n = 4) $a_{4}$ = 5 + (4 - 1)(-3) = 5 - 9 = -4 Fifth term (put n = 5) $a_{5}$ = 5 + (5 - 1)(-3) = 5 - 12 = -7
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