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)

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

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

1.2+2.3+3.4+.........+n(n+1)=(1)/(3)n(n+1)(n+3)

Prove that 1*2+2*3+3*4+.....+n*(n+1)=(n(n+1)(n+2))/(3)

Prove the following by using the principle of mathematical induction for all n in N :- 1/(1.2.3)+1/(2.3.4)+1/(3.4.5)+...+1/(n(n+1)(n+2))=(n(n+3))/(4(n+1)(n+2)) .

lim_ (n rarr oo) (1.2 + 2.3 + 3.4 + .... + n (n + 1)) / (n ^ (3))