Answer
$a=160$
Work Step by Step
According to the Binomial Theorem, the 4th, that is, the ($3+1$)th term of $(x+2)^6$ is:
$_6C_3(x)^{6-3}(2)^3=\frac{6!}{(6-3)!\times3!}x^3(8)=(20)x^3(8)=160x^3$
$ax^3=160x^3$
$a=160$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 11 - 11.5 - The Binomial Theorem - 11.5 Exercises - Page 813: 47
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