Using Mathematical Induction, prove that statement for all n `in` N
`(1+3/1)(1+5/4)(1+7/9)........(1+(2n+1)/n^2)=(n+1)^2`.

Using Mathematical Induction, prove that statement for all n in N 1.2.3+2,3,4+……….+("upto n terms")=(n(n+1)(n+2)(n+3))/(4) .

Use mathematical induction to prove that 2 n - 3 le 2^(n-2) for all n ge 5, n in N

Use mathematical induction to prove that statement sum_(k = 1)^(n) (2 K - 1)^(2) = (n (2 n - 1) (2n + 1))/( 3) for all n in N

Use mathematical induction to prove that statement 1^(3) + 2^(3) + 3^(3) + . . . + n^(3) = (n^(2) (n + 1)^(2))/( 4) , AA n in N

Use Mathematical induction to prove that (1 + x)^(n) gt 1 + nx for n ge 2, x gt - 1, x ne 0

Using the principle of finite Mathematical Induction prove the following: (iii) 1/(1.4) + 1/4.7 + 1/7.10 + ……… + "n terms" = n/(3n+1) .

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

Using the principle of Mathematical Induction, Show that 49^n+16n-1 is divisible by 64, forall n in N .

Using the principle of finite Mathematical Induction prove the following: (v) 3.5^(2n+1)+2^(3n+1) is divisible by 17, AA n in N .