Check whether `6^n` can end with the digit 0 for any natural number n.

check Whether 6^(th) can end with the digit 0 for any natural number n .

Show that 3^(n) xx 4^(m) cannot end with the digit 0 or 5 for any natural numbers ‘n’and 'm'

Find the mean of first n natural numbers .

Find the sum of first n odd natural numbers.

Find the sum of first n even natural numbers.

The variance of the first n natural numbers is :

Statement 1 The difference between the sum of the first 100 even natural numbers and the sum of the first 100 odd natural numbers is 100. Statement 2 The difference between the sum of the first n even natural numbers and sum of the first n odd natural numbers is n.

Use the principle of mathematical induction to show that (a^(n) - b^n) is divisble by a-b for all natural numbers n.

First term of a sequence is 1 and the (n+1)th term is obtained by adding (n+1) to the nth term for all natural numbers n, the 6th term of the sequence is

Show by using the principle of mathematical induction that for all natural number n gt 2, 2^(n) gt 2n+1