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Find all r for which the infinite geometric series 2 + r + r/2 + r^2/4 + ... is defined. Enter all possible values of r, as an interval.

 Aug 3, 2022
 #1
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The common ratio is  r  / 2

 

And       l common ratio  l   <  1

 

So

 

-1  < r/2 <  1

 

-2 < r < 2

 

 

cool cool cool

 Aug 3, 2022

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