I have an idea of what to do and I have reached the stage but when i am at final stage- I am struggling to simplify as i simply don't understand(adsbygoogle = window.adsbygoogle || []).push({});

(1/2)+(2/2^2) +(3/2^3)+...+ (n/2^n) = 2 - (n+2/2^n)

so I have done p(k) and p(k+1)

this gives me p(k)

(1/2)+(2/2^2) +(3/2^3)+...+ (k/2^k) = 2 - (k+2/2^k)

Next for p(k+1)

I get

(1/2)+(2/2^2) +(3/2^3)+...+ (k+1/2^k+1)

=2 - (k+2/2^k)+(k+1/2^k+1) by p(k)

now I am stuck in doing algebra.....................???????????????

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# Mathematical induction

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