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06-11-2017
Mathematics

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The sum of an infinite geometric series is 1,280, while the first term of the series is 160. What is the common ratio of the series?

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06-11-2017

The sum is 160/(1-r)=1280 where r is the common ratio,
1/(1-r)=1280/160=8
Inverting we get 1-r=1/8, r=7/8.

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