Powerful Numbers!

Find the Last Digit of -

1 + 2 5 + 3 5 + . . . . . . + 9 9 5 1+2^{5}+3^{5}+......+99^{5}


The answer is 0.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Edwin Gray
Mar 31, 2019

A short table shows that n^5 ends in n for 1 <= n <= 9. The sum from 1 to 9 ends in 5. There are 9 non-zero numbers for each of 10 units digits, so the total sum ends in 10x5 =50, so o is the last digit.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...