Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Test - Page 1126: 1

Answer

$ a_{1}=1;a_2=\dfrac{-1}{4};a_3=\dfrac{1}{9};a_4=\dfrac{-1}{16};a_5=\dfrac{1}{25}$

Work Step by Step

In order to find the five terms, we will plug in $ n=1$ to $5$ in the given equation. Since we have a recursive formula, use the first term to get the second term. By plugging in higher values of $n$, we will get larger order terms. So, the first $5$ terms of the sequence are: $ a_{1}=1;a_2=\dfrac{-1}{4};a_3=\dfrac{1}{9};a_4=\dfrac{-1}{16};a_5=\dfrac{1}{25}$
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