Question

Show that any number of the form 4n ,n=ncan never end with digit 0.

Answer 1

Answer:

4n never ends with zero.

Step-by-step explanation:

Let 4n ends with zero for any natural number n

Since, The number ends with zero 4n is divisible by 5

Since, 5 is a factor of 4n

4n=(2×2)n

Since, The factor of 4 are 2 only

So , our supposition was wrong.

Therefore, 4n never ends with zero.

Hope it helps..

Thank-you..