`1.2.3+2.3.4+…….+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/(4)`

Using the principle of mathematical induction,prove that :.2.3+2.3.4+...+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/(4) for all n in N

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

1.3 + 2.4 + 3.5 + …… + n(n+2) =( n(n+1)(2n+7))/6

1.3+2.4+3.5+....+n(n+2)=(n(n+1)(2n+7))/(6)

Prove by PMI that 1.2+2.3+3.4+....+n(n+1)=((n)(n+1)(n+2))/(3),AA n in N

If n is a non zero rational number then show that 1 + n/2 + (n (n - 1))/(2.4) + (n(n-1)(n - 2))/(2.4.6) + ….. = 1 + n/3 + (n (n + 1))/(3.6) + (n (n + 1) (n + 2))/(3.6.9) + ….

If n is a non zero rational number then show that 1 + n/2 + (n (n - 1))/(2.4) + (n(n-1)(n - 2))/(2.4.6) + ….. = 1 + n/3 + (n (n + 1))/(3.6) + (n (n + 1) (n + 2))/(3.6.9) + ….