MathCastle
Proof Writing & Problem SolvingEasy

Proof Writing & Problem Solving · Easy problem

To prove "if n=5k+2n = 5k + 2 then 5∣n2+15 \mid n^2 + 1", expand: n2+1=25k2+20k+5=5(5k2+4k+1)n^2 + 1 = 25k^2 + 20k + 5 = 5(5k^2 + 4k + 1). For n=17n = 17, what is 5k2+4k+15k^2 + 4k + 1?

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