Precalculus (6th Edition) Blitzer

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

Chapter 10 - Section 10.1 - Sequences and Summation Notation - Concept and Vocabulary Check - Page 1048: 5



Work Step by Step

The second term of the sequence can be obtained by putting $n=2$. Then, for the third term, simply put $n=3$, and so on for other terms. We are given that ${{a}_{n}}=2{{a}_{n-1}}-4$ and ${{a}_{1}}=3$. Now, to find the second term, put $n=2$; $\begin{align} & {{a}_{2}}=2{{a}_{2-1}}-4 \\ & =2{{a}_{1}}-4 \\ & =2\left( 3 \right)-4 \\ & =2 \end{align}$
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