Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 14 - Sequences, Series, and the Binomial Theorem - Connecting: The Concepts - Exercises - Page 909: 3

Answer

$a_{21}=110$

Work Step by Step

We have to find $21$st term of the arithmetic sequence: $10, 15, 20, 25, . . .$ For the general $a_n$ term we have $a_n=a_1+d(n-1)$. In our case $d=a_2-a_1=15-10=5$ So $a_{21}=a_1+d(21-1)=10+5(21-1)=110$
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