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8.1.2+2.2^(2)+3.2^(3)+...+n.2^(n)=(n-1)2...

8.1.2+2.2^(2)+3.2^(3)+...+n.2^(n)=(n-1)2^(n+1)+2

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Prove that by using the principle of mathematical induction for all n in N : 1.2+ 2.2^(2)+ 3.2^(3)+ ....+ n.2^(n)= (n-1)2^(n+1)+2

Prove that by using the principle of mathematical induction for all n in N : 1.2+ 2.2^(2)+ 3.2^(3)+ ....+ n.2^(n)= (n-1)2^(n+1)+2

Prove that by using the principle of mathematical induction for all n in N : 1.2+ 2,2^(2)+ 3.2^(3)+ ....+ n.2^(n)= (n-1)2^(n+1)+2

1.2+2.2^(2)+3.2^(3)dots...n.2^(n)=(n-1)2^(n+1)+2

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By the Principle of Mathematical Induction, prove the following for all n in N : 1.2+2.2^2 +3.2^3+.....+ n.2^n= (n-1)2^(n+1)+2 .

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Prove by. mathematical induction : 1.2+2.2^2+3.2^3+...+n.2^n=(n-1)2^(n+1)+2,n in N

1*2+2*2^(2)+3*2^(3)+*2^(n)=(n-1)2^(n+1)+2