If n is a natural number. Then `{:[(2,-1),(3,-2)]^n:}`, is

2^n gt n , n is a natural number.

If n is a natural number then show that 1.3.5.7…..(2n-1) = ((2n)!)/(2^n n!)

If n is a natural number then show that n! + (n+1)! = (n+2)n!

If n is natural number & n ge 1, then (3^(2n) - 1) is always divisible by

If n is a natural number, then which of the following is not always divisible by 2? 1.) n^2-n 2.) n^3-n 3.) n^2-1 4.) n^3-n^2

If A = {4n+ 2| n is a natural number} and B = {3n|n is a natural number}, then what is (A nn B) equal to?

In n is a natural number,n(n + 1)(n + 2) will always divisible by

I: m is any composite number that divides (m-1)! II: n is a natural number that n^3 + 2n^2 + n divides n!

If n is a natural number gt 2 , such that z^(n) = (z+1)^(n) , then

For natural number n , 2^n (n-1)!lt n^n , if