SOLUTION: 1/2 +1/8 +1/32 +...+1/2^2n-1 Need to find the limit. Please help.

Question 1201544: 1/2 +1/8 +1/32 +...+1/2^2n-1
Need to find the limit. Please help.

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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You have a geometric progression with the 1st term a = 1/2 and the common ratio r = 1/4.


The general formula for the sum of such progression is  S = ,  provided |r| < 1.


Substituting a = 1/2, r = 1/4 into the formula, you get the answer to your question

    the sum = S =  =  =  = .

Solved, with all necessary explanations.

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