Prove by using the principle of mathemtical induction: ` 1+2+3+…+n =(n(n+1))/2

Prove by using the principle of mathemtical induction: 3.2^2 +3 . 2^3+…+3^n .2^(n+1) = 12/5 (6^n-1)

Prove by using the principle of mathemtical induction: 3.2^2 +3 . 2^3+…+3^n .2^(n+1) = 12/5 (6^n-1)

Prove by using the principle of mathemtical induction: If u_0=2, u_1 = 3 and u_(n+1)=3u_n -2u_(n-1), show that u_n = 2^n +1, n epsilon N

Prove by using the principle of mathemtical induction: 1^3+3^3+5^3+…+(2n-1)^3 =n^2 (2n^2-1)

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

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

Prove that by using the principle of mathematical induction for all n in N : 1+2+3+.....+n lt (1)/(8)(2n+1)^(2)

Prove that by using the principle of mathematical induction for all n in N : 1+2+3+.....+n lt (1)/(8)(2n+1)^(2)

Prove that by using the principle of mathematical induction for all n in N : 1+2+3+.....+n lt (1)/(8)(2n+1)^(2)

Prove that by using the principle of mathematical induction for all n in N : 1.2.3+ 2.3.4+ ....+ n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/(4)