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Sigma n

Consider the ...

Question

Consider the infinite geometric sequence with first term $5$ and common ratio $\frac{1}{2}$ . Find the sum $S$ of the terms of this sequence, if it exits.

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Solution

$s_{\infty} = \frac{a}{1 - r}$
$= \frac{5}{1 - \frac{1}{2}} = 10$ .

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