n^(3)+(n+1)^(3)+(n+2)^(3)" is diviable by "9

Use method of induction, prove that : If n^3+(n+ 1)^3+(n+ 2)^3 is divisible by 9 for every n in N

If [n^(3)+(n+1)^(3)+(n+2)^(3)] is also divisible by 9. then show that, [(n+1)^(3)+(n+2)^(3)+(n+3)^(3)] is also divisible by 9.

For all nge1 , prove that p(n):n^3+(n+1)^3+(n+2)^3 is divisible by 9.

Show that n^3+(n+1)^3+(n+2)^3 is divisible by 9 for every natural number n .

Prove the following by using the Principle of mathematical induction AA n in N n^(3)+(n+1)^(3)+(n+2)^(3) is a multiple of 9.

ninNN,(n+1)^(3)+(n+2)^(3)+(n+3)^(3) when divided by 9, then the remainder will be -

Shwo that n^3+(n+1)^3+(n+2)^3 is divisible 9 for everynatural number n.

Let P(n) denotes the statement n^3+(n+1)^3+(n+2)^3 is a multiple of 9 Prove that P(1) is true

Evaluate lim _( x to oo) ((1^(2) )/(n ^(3) +1 ^(3))+(2 ^(2))/(n ^(3) +2 ^(3)) + (3 ^(2))/(n ^(3)+ 3 ^(3))+ .... + (4)/(9n)).

Evaluate lim _( x to oo) ((1^(2) )/(n ^(3) +1 ^(3))+(2 ^(2))/(n ^(3) +2 ^(3)) + (3 ^(2))/(n ^(3)+ 3 ^(3))+ .... + (4)/(9n)).