Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.2 - Arithmetic Sequences - Exercise Set - Page 842: 94

Answer

quotients are same.

Work Step by Step

Let us consider the sequence $a_n=3 \cdot 5^n$ Now, $\dfrac{a_2}{a_1}=\dfrac{3 \cdot 5^2}{3 \cdot 5^1}, \dfrac{a_3}{a_2}=\dfrac{3 \cdot 5^3}{3 \cdot 5^2}, \dfrac{a_4}{a_3}=\dfrac{3 \cdot 5^4}{3 \cdot 5^3} $ and $\dfrac{a_5}{a_4}=\dfrac{3 \cdot 5^5}{3 \cdot 5^4}$ Thus, $\dfrac{a_2}{a_1}=5, \dfrac{a_3}{a_2}=5, \dfrac{a_4}{a_3}=5 $ and $\dfrac{a_5}{a_4}=5$ Hence, all the quotients are same.
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