Find the sum of the GP: \[ 1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\ldots \text { to } 9 \text { t...

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Find the sum of the GP:
\[
1-\frac{1}{2}+\frac{1}{4}-\frac{1}{8}+\ldots \text { to } 9 \text { terms }
\]
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