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# help

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An infinite geometric series has common ratio -1/5 and sum 16. What is the first term of the series?

Dec 6, 2019

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$$\text{Let }a\text{ be the first term.}\\ \dfrac{a}{1 - \dfrac{-1}{5}}= 16\\ a = 16\left(\dfrac{6}{5}\right) = \dfrac{96}{5}$$

The first term of the series is 96/5

Dec 6, 2019