" If "A=[[1,0],[1,1]]," then for all natural numbers "n,A^(n)" is equal to "

For all natural number of n, 2^(2n).3^(2n)-1-35n is divisible by

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

Prove that 2n +1 lt 2^(n) for all natural numbers n ge3

If the sum of first n odd natural numbers is 169, then the sum of all natural numbers less than or equal to n is.

If the sum of the digits of a number 10^(n) - 1 , where n is a natural number, is equal to 3798, then what is the value of n ?

Show that ^nP_n= "^nP_(n-1) for all natural numbers n .

1+5+9+...+(4n-3)=n(2n-1) for all natural numbers n