Using the principle of finite Mathematical Induction prove that `1^2+(1^2+2^2)+(1^2+2^2+3^2)+.......n terms =(n(n+1)^2(n+2))/12,foralln in N`

Using the principle of finite Mathematical Induction prove that 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)+3^(2)) + "n terms" = (n(n+1)^(2)(n+2))/(12), AA n in N .

By the principle of mathematical induction prove that 1+2+3+4+…n= (n(n+1))/2

Using principle of mathematical induction, prove that: 1+3+5+………..+(2n-1)= n^2 .

Using the principle of finite Mathematical Induction prove the following: (vi) 2+3.2+4.2^(2)+………."upto n terms" = n.2^(n) .

Using the principle of mathematical induction, prove that 1.3 + 2.3^(2) + 3.3^(2) + ... + n.3^(n) = ((2n-1)(3)^(n+1)+3)/(4) for all n in N .

Using the principle of mathematical induction, prove that 1.3 + 2.3^(2) + 3.3^(2) + ... + n.3^(n) = ((2n-1)(3)^(n+1)+3)/(4) for all n in N .

Use principle of mathematical induction to prove that: 1+2+3+……….+n=(n(n+1))/2

Using principle of mathematical induction, prove that 1 + 3 + 3^(2) + … 3^(n-1) = (3^(n) - 1)/(2)

Using the principle of Mathematical Induction , forall n in N , prove that 1^2+2^2+3^2+.....n^2=(n(n+1)(2n+1))/6

By using principle of mathematical induction, prove that 2+4+6+….2n=n(n+1), n in N