3^(4n+2)+5^(2n+1)" is a multiple of "14

Show that: 2^(4n)-2^n(7n+1) is some multiple of the square of 14, where n is a positive integer.

Show that: 2^(4n)-2^n(7n+1) is some multiple of the square of 14, where n is a positive integer.

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

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

If ninNN , then by principle of mathematical induction prove that, 3^(4n+1)+2^(2n+2)" "[nge0] is a multiple of 7.

The sum to 100 terms of the series 1.2.3. + 2.3.4. + 3.4.5. + …+ n(n + 1) (n+2) + …. is integral multiple of

The sum to 100 terms of the series 1.2.3. + 2.3.4. + 3.4.5. + …+ n(n + 1) (n+2) + …. is integral multiple of

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

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 ninNN , both expression n(n+1)(n+2) and n(n+1)(n+5) are multiple of -