1.2+2.2^(2)+3.2^(2)+...+n.2^(n)=(n-1)2^(...

`1.2+2.2^(2)+3.2^(2)+...+n.2^(n)=(n-1)2^(n+1)+2`

1.2+2.2^(2)+3.2^(2)+...+n.2^(n)=(n-1)2^(n+1)+2
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1+2.2+3.2^(2)+4.2^(3)+......+n.2^(n-1)
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1.2+2.2^(2)+3.2^(3)+....+n.2^(n)=(n-1)2^(n-1)+2
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1.2+2.2^(2)+3.2^(3)+....+n.2^(n)=(n-1)2^(n-1)+2
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1.2+2.2^(2)+3.2^(3)dots...n.2^(n)=(n-1)2^(n+1)+2
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Prove the following by the principle of mathematical induction: \ 1...
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1+2.2+3.2^(2)+4.2^(3)+...+n*2^(n-1) = (i) 1+ (1+n) 2^(n) (ii) 1- (1+n)...
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If S(n)=(1.2)/(3!)+(2.2^(2))/(4!)+(3.2^(2))/(5!)+...+ up to n terms, t...
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1.2+2.2^(2)+3.2^(2)+. . . +n.2^(n)=(n-1)2^(n+1)+2
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