Precalculus (6th Edition) Blitzer

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

Chapter 10 - Section 10.2 - Arithmetic Sequences - Concept and Vocabulary Check - Page 159: 4

Answer

The first term of $\sum\limits_{i=1}^{20}{\left( 6i-\text{ }4 \right)}$ is 2 and the last term is 116.

Work Step by Step

To find the first term, we will substitute $ i=1$ in the given equation $\begin{align} & 6i-4=6\left( 1 \right)-4 \\ & =6-4 \\ & =2 \end{align}$ To find the last term, we will substitute $ i=20$ in the given equation $\begin{align} & 6i-4=6\left( 20 \right)-4 \\ & =120-4 \\ & =116 \end{align}$
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