Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Chapter Review - Review Exercises - Page 859: 7

Answer

arithmetic, $d=1$, $S_n=\frac{n(n+11)}{2}$.

Work Step by Step

1. Based on the given sequence, we can determine that it is arithmetic, 2. We can find the common difference as $d=a_2-a_1=7-6=1$, 3. We can find the sum of the first n terms as $S_n=\frac{n(a_1+a_n)}{2}=\frac{n(6+n+5)}{2}=\frac{n(n+11)}{2}$.
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