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Let

P = 1/7 + 1/7^2 + 1/7^3 + ...

Then P can be expressed in the form a/b, where a and b are positive integers.  Find the smallest possible value of a + b?

 Jun 26, 2022
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∑]1 / 7^n, n, 1, ∞]==It converges to 1/6

 

a/b ==1 / 6

 

a + b ==1 + 6 ==7

 Jun 26, 2022

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