3^(n)>n" for all "n in N

Show that the sequence given by a_(n)3(2^(n)), for all n in N, is a G.P.Also find its common ratio.

Using mathematical induction prove that 1/(3.5)+1/(5.7)+1/(7.9)+.......+1/((2n+1)(2n+3))=n/(3(2n+3) for all n in N

The greatest positive integer, which divides (n+1)(n+2)(n+3)(n+4) for all n in N is

Prove by the principal of mathematica induction that 3^(n) gt 2^(n) , for all n in N .

Prove by Induction, that (2n+7)le (n+3)^2 for all n in N. Using this, prove by induction that : (n+3)^2 le 2^(n+3) for all n in N.

Find the value of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) for all n in N.

Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

Find the value of i^n+i^(n-1)+i^(n-2)+i^(n-3) for all n in Ndot

Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot