`5^(n)-1` is divisible by 4

5^(2n)-1 is divisible by 24 for all n varepsilon N

Prove the following by the principle of mathematical induction: 5^(n)-1 is divisible by 24 for all n in N.

For each n in N, 5^(3n)-1 is divisible by ____

Statement -1 for all natural numbers n , 2.7^(n)+3.5^(n)-5 is divisible by 24. Statement -2 if f(x) is divisible by x, then f(x+1)-f(x) is divisible by x+1,forall x in N .

9^(n)-8^(n)-1 is divisible by 64 is

Prove that 2.7^(n)+3.5^(n)-5 is divisible by 24, for all n in N

For all n in N , 4^(n)-3n-1 is divisible by

prove that 4^(n)-1 is divisible by 3, for each natural number n.

Show that 2^(2n) + 1 or 2^(2n)-1 is divisible by 5 according as n is odd or even.

Consider the following statements : 1. If n is a prime number greater than 5, then n^(4) - 1 is divisible by 2400. 2. Every square number is of the form 5n or (5n - 1) or (5n + 1) where n is a whole number. Which of the above statements is/are correct ?