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The sum of an infinite GP is 80/9 and it...

The sum of an infinite GP is `80/9` and its common ratio is `(-4)/5`. Find its first term.

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To find the first term of the infinite geometric progression (GP) given the sum and the common ratio, we can follow these steps: ### Step 1: Understand the formula for the sum of an infinite GP The formula for the sum \( S \) of an infinite geometric progression is given by: \[ S = \frac{a}{1 - r} \] where \( a \) is the first term and \( r \) is the common ratio. ...
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