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2017 InIMC keystage3-IWYMIC team Question 7

xIMC · 2017 InIMC keystage3-IWYMIC team

Question 7

Given that $a>0$, $x_n=a^n-\frac1{a^n}$ where $n=1,2,3,\ldots$. If $x_1=3$, find the units digit of $x_{2017}$.