Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts

Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5

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DWRead DWRead · Answer 2 · 2021-02-09T14:37:39+01:00

DWRead DWRead

09-02-2021

You cannot prove it, because it isn’t true. 1+2+3+4+5 = 15.
n+(n+1)+(n+2)+(n+3)+(n+4) = 5n+10 = 5(n+2)

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Prove that the sum of five consecutive natural numbers is even.pls explain briefly and pls help it has 14 pts

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Prove that the sum of five consecutive natural numbers is even.
pls explain briefly and pls help it has 14 pts