Prove by method of induction:
`log_(a)x^(n) = n log_(a) x, x gt 0, n in N`

Prove by method of induction: 5^(2n)-2^(2n) is divisible by 3, for all n in N .

Prove by method of induction 15^(2n-1) + 1 is divisible by 16, for all n in N

Prove by Method of Induction n^2 < 2^n , AA n in N and n ge 5

By method of induction, prove that 2^n > n , for all n in N .

Prove the following by the method of induction for all n in N : Prove by methode of Induction [[1,2],[0,1]]^n = [[1,2n],[0,1]] AA n in N

By method of induction prove that 1+2+3+...+n = (n(n+1)) /2, for all n in N

Prove by method of induction: P(n) = [[3,-4],[1,-1]]^n = [[2n+1, -4n],[n, -2n+1]]

Prove, by method of induction, for all n in N : 2 + 3.2 +4.2^2 +...+ (n + 1) (2^(n-1)) = n.2^n

Prove, by method of induction, for all n in N : 8 + 17 + 26 +...+ (9n - 1) = n/2 (9n + 7)

Prove by Method of Induction 4^n - 1 is divisible by 3, for each number n