Mathematics, 25.06.2019 18:40 deedivinya

Define a sequence $a_n$ as follows: for each positive integer $n$, set $a_n$ equal to the remainder of $n^n$ when it is divided by 101. what is the smallest positive integer $d$ such that $a_n = a_{n+d}$ for all $n$?

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Define a sequence $a_n$ as follows: for each positive integer $n$, set $a_n$ equal to the remainder...