College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 7 - Review Exercises - Page 698: 14

Answer

$20$

Work Step by Step

The $n^{th}$ term ($a_n$) of an arithmetic sequence can be found using the formula $a_n=a_1+(n-1)d$. where, $a_1$ is the first term and $d$ is the common difference(is the difference between a term and the term proceeding it), that is, $d=a_n-a_{n-1}$ From the given sequence, we have: $a_1=6$ and $d=2$. Substitute these values in the formula above and evaluate for $n=8$( eighth term). $a_8=6+(8-1)(2) \\=6+14\\=20$ Therefore, the eighth term of the given arithmetic sequence is $20$.
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