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

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

For all nge1 , prove that 1/1.2+1/2.3+1/3.4+..........+1/(n(n+1))=n/(n+1)

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

1.3+2.3^(2)+3.3^(3)+............+n.3^(n)=((2n-1)3^(n+1)+3 )/(4)

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

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

For all nge1 , prove that 1.2.3+2.3.4+......+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4

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

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