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 - Exercises - Page 337: 35

Answer

Error: the value of the common ratio The correct common ratio: $-\frac{1}{2}$ and not $-2$. The next three terms are $-\frac{1}{2},\frac{1}{4},-\frac{1}{8}$

Work Step by Step

The common ratio is shown as $-2$ which is not correct. The common ratio is $-\frac{1}{2}$. The next three terms therefore are $1\times\left(-\frac{1}{2}\right)=-\frac{1}{2}$ $-\frac{1}{2}\times\left(-\frac{1}{2}\right)=\frac{1}{4}$ $\frac{1}{4}\times\left(-\frac{1}{2}\right)=-\frac{1}{8}$
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