How do you find the sum of the infinite geometric series 4, 1, 1/4, ...?

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How do you find the sum of the infinite geometric series 4, 1, 1/4, ...?

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Answer 1 · 2015-11-16T18:00:51

Since the common ratio #r<1#, the geometric sum will converge ...

Explanation:

#r=1/4#

Sum #=a_1/(1-r)=4/(1-1/4)=16/3#

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How do you find the sum of the infinite geometric series 4, 1, 1/4, ...?

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