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

Prove the following by the principle of mathematical induction: \ 1. 2+2. 2^2+3. 2^3++n .2^n=(n-1)2^(n+1)+2

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

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

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 .

Prove the following by the principle of mathematical induction: 1.2+2.2^(2)+3.2^(3)++n.2^(n)=(n-1)2^(n+1)+2

Prove the following 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

By mathematical induction prove that, 1*2+2*2^(2)+3*2^(3)+ . . .+n*2^(n)=(n-1)*2^(n+1)+2,ninNN .

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