2015 Countdown Problem #6: Summing Up The Years - Revisited

Last year I've posted the following problem (Summing up the Years) which has been reshared on Brilliant's official Facebook page, and this year I've decided to introduce a twist to this deceptively simple problem:

Find the last digit of \[ \sum_{i=0}^{2015} ( ((2015^{i})^{i}) (i^{2015}) ) \]

This problem is part of the set 2015 Countdown Problems.

×

Problem Loading...

Note Loading...

Set Loading...