pyrosilver
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Homework Statement
1/2 + 2/4 + 3/8 + 4/16 + 5/32 + ...
Homework Equations
The Attempt at a Solution
The only headway I've made is that this is ∑ n/(2^n). how do I go about summing this?
Summing a Geometric Series with Variable Exponents
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1/2 + 2/4 + 3/8 + 4/16 + 5/32 + ...
The only headway I've made is that this is ∑ n/(2^n). how do I go about summing this?
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how about starting by adding up the first few terms and looking for a pattern with n terms
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Define f(x)=x^n/2^n. If you find that then your sum just might be related to f'(x) at x=1.
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