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For the numbers $n=0$ through $n=4,$ compute the remainder when $n^5-n$ is divided by 5. What is the sum of these five remainders?

 Apr 16, 2019
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[0^5 - 0] / 5  = 0/5  = R 0

[1^5 - 1 ] / 5  = 0/5  = R 0

[2^5 - 2] / 5 = 30/ 5  = R 0

[ 3^5 - 3 ] / 5  = 240/5  = R 0

[ 4^5 - 4 ] /5  = 1020 / 5 = R0

 

Sum =  0

 

 

 

cool cool cool

 Apr 16, 2019
edited by CPhill  Apr 16, 2019

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