Check whether `12^n` can end with the digit 0 for any natural number n.

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

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

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

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

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

Check whether 6^(n) can end with the digit '0' (zero) for any natural number n.

Show that 12^n cannot end with the digits 0 or 5 for any natural number n

Prove by mathematical induction that n^(5) and n have the same unit digit for any natural number n.

Check whether the relation R in the set N of natural numbers given by R = { (a,b) : a is a divisor of b } is reflexive, symmetric or transitive. Also determine whether R is an equivalence relation

check whether the relation R in the set N of natural numbers given by R = { (a,b) : a is divisor of b } is reflexive, symmetric or transitive. Also determine whether R is an equivalence relation