Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 6 - Exponential Functions and Sequences - 6.6 - Geometric Sequences - Monitoring Progress - Page 335: 12

Answer

After 10 clicks.

Work Step by Step

We have to determine the value of $n$ solving the exponential equation: $5(2)^{n-1}=2560$ Dividing each side by $5$, we have $2^{n-1}=512$ Rewriting $512$ as $2^{9}$, we get $2^{n-1}=2^{9}$ Equating the exponents, we obtain $n-1=9$ $\implies n=9+1=10$
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