SOLUTION: Compute the sum 1 + 1/3 + 2/3 + 2/9 + 4/9 + 4/27 + 8/27 + 8/81...

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Question 1036463: Compute the sum
1 + 1/3 + 2/3 + 2/9 + 4/9 + 4/27 + 8/27 + 8/81...

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Compute the sum
1 + 1/3 + 2/3 + 2/9 + 4/9 + 4/27 + 8/27 + 8/81...
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(1/3) + a geometric series with a(1) = 1 and r = (2/3)
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Sum = (1/3) + [1/(1-(2/3)]
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Sum = (1/3) + 3
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Ans:: 3 1/3
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Cheers,
Stan H.
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