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

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

Prove that by 1.2+2.3+3.4+…..+n(n+1)=(n(n+1)(n+2))/3 by using the principle of mathematical induction for all n in N .

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

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

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

1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

Prove 1 + 5 + 9 + ... + (4n - 3) = n(2n - 1), AA n in N

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

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