Thinking Mathematically (6th Edition)

Published by Pearson

Chapter 5 - Number Theory and the Real Number System - 5.7 Arithmetic and Geometric Sequences - Exercise Set 5.7: 77

Answer

$a_7=320$

Work Step by Step

The nth term of a geometric sequence can be found using the formula: $a_n=a_1(r^{n-1})$ where r= common ratio $a_1$ = first term $a_n$ = nth term n = term number Substitute the given values of $a_1$, n, and $r$ to find: $a_{7}=5(-2)^{7-1} \\a_{7}=5(-2)^{6} \\a_{7}=5(64) \\a_{7}=320$

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