14+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)

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

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

By method of induction prove that 1.3 + 2.5 + 3.7 +...+ n (2n + 1) = n/6 (n + 1) (4n + 5) for all n in N

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

1.4+2.5+.......+n(n+3)=

Find the sum of the following series : 1.3.5+2.4.6 +3.5.7 + .... to n(n+2)(n+4) .

Prove the following by using the principle of mathematical induction for all n in N :- 1.3 + 3.5 + 5.7 +...+ (2n-1)(2n+1)=(n(4n^2 +6n-1))/3

1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^(2)+6n-1))/(3)