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)`.

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 the principle of finite Mathematical Induction prove that 1.2.3+2.3.4+3.4.5.+………… upto n terms = n(n+1)(n+2)(n+3))/4,for all n in N

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

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

Using Mathematical induction. For all n in N . Show that a+(a+d)+(a+2d)+…………..n "upto n terms" = n/2 [2a+(n-1)d] .

Using the principle of finite Mathematical Indcution prove that 2.3 + 3.4 + 4.5 + ……."upto n terms" = (n(n^(2)+6n+11))/(3) .

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) .

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 statement sum_(k = 1)^(n) (2 K - 1)^(2) = (n (2 n - 1) (2n + 1))/( 3) for all n in N