[" 9."n(n+1)(n+5)" is a multiple of "3.],[" 0."10^(2n-1)+1" ic divio: "h" ."]

n(n+1)(n+5) is a multiple 3.

For all n in N , n(n + 1) (n + 5) is a multiple of 8

Prove that 1 + w ^( n ) + w ^( 2n) = 3, if n is multiple of 3 1 + w ^( n ) + w ^( 2n) = 0, if n is not multiple of 3 n in 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

Using principle of mathematical induction prove that n(n+1)(n+5) is a multiple of 3 for all n in N .

If 1;w;w^2 are cube root of unity and n is a positive integer;then 1+w^n+w^(2n) = {3; When n is multiple of 3; 0; when n is not a multiple of 3

By induction prove that, 7^(2n)+2^(3(n-1))*3^(n-1) is a multiple of 25 for all ninNN .

If 1;w;w^(2) are cube root of unity and n is a positive integer; then 1+w^(n)+w^(2n)={3; When n is multiple of 3;0; when n is not a multiple of 3

If n is a multiple of 3, then ((-1+isqrt3)/(2))^(n)+((-1-isqrt3)/(2))^(n)