Before, Now and After Years!

What is the tens digit of

2015 2016 2017 ? \large{2015}^{{2016}}-{2017} \ ?

7 3 6 8 0

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1 solution

Manuel Kahayon
Mar 4, 2016

We only need to focus on the last two digits of each term, 1 5 2016 17 15^{2016}-17

Since 1 5 2 n 15^{2n} for some integer n always ends in 25, then we have 201 5 2016 2015^{2016} always ends in 25.

So our answer is 25 17 = 0 8 25-17 = \boxed{0}8

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