`1,6+2.9+3.12+.....+n(3n+3)=`

By the Principle of Mathematical Induction, prove the following for all n in N : 3.6+6.9+9.12+......+ 3n(3n+3) = 3n(n + 1) (n + 2) .

3.6+6.9+9.12+....+3n(3n+3)=

3.6+6.9+9.12+....+3n(3n+3)=

By method of induction, prove that 1.6 + 2.9 + 3.12 +... +to n terms = n(n +1 )(n+2) for all n in N .

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

Prove the following by using the principle of mathematical induction for all n in N 3 xx 6 + 6 xx 9 + 9 xx 12 + …..+ (3n)(3n+3) = 3n(n+1)(n+2)

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

Prove be mathematical induction : (1)/(3.6)+(1)/(6.9)+(1)/(9.12)+...+(1)/(3n(3n+3))=(n)/(9(n+1))

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