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 8.3 - Page 739: 8


$-2, 12, -72, 432, -2592$

Work Step by Step

To solve this, we have to apply the formula for the nth term of a geometric series. For determining sequence, we will use the recursion formula. The formula tells to multiply the previous term in order to get the next term. Here, we will to multiply -6 to the original term to get the next term. We will repeat this process 5 times. This also becomes our r term in the general formula for the nth term in a geometric series. $a_{n}=-2 \times (-6)^{n-1}$
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