Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Mixed Review of Problem Solving - Lessons 12.4-12.5 - Page 838: 9

Answer

See below

Work Step by Step

Let's suppose $r=0.5$, then we have: $$\frac{a_1}{1-r}=4\\\frac{a_1}{1-0.5}=4\\a_1=2$$ Hence, $\sum^{\infty}_{n=0} a_1\times^n=\sum^{\infty}_{n=0} 2\times0.5^n$
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