Answer
The sequence converges to 0.
Work Step by Step
Rewrite $a_n$ as $$a_n = 3^n7^{-n} = (\frac{3}{7})^n.$$ Since the inside value of $r$ has magnitude less than 1, our sequence converges to 0.
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 11 - Section 11.1 - Sequences - 11.1 Exercises - Page 704: 27
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