Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 11 - Further Topics in Algebra - Summary Exercises on Sequences and Series - Exercises - Page 1038: 12

Answer

$a_n= 4n-2$, $S_{10}= 200$

Work Step by Step

Given the sequence $2,6,10,14,18$, we have $6-2=4, 10-6=4...$ and it can be identified as an arithmetic sequence. We have $a_n=2+(n-1)4=4n-2$ and $S_{10}=\frac{10}{2}(2+4(10)-2)=200$
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