Is the units digit in the value of `6^n` where 'n' is a natural number is zero? Justify your answer.

What is the last digit of 3^(3n)+1, where n is a natural number?

What would be the digit in the 10th place of 7^n where 'n' is a natural number greater than 1 ?

Given P(n):3^(2n) 1 is divisible by 8. Is the statement P(n) true for all natural numbers? Justify your answer.

Can 15^(n) end with the digit 0 , for any natural number n . Justify your answer .

Find the unit digit of the expression 199^(2n)+144^(3n) , where n is a natural number.

Show that n(n + 1) (n + 2) is divisible by 6 where n is a natural number.

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 ?