SOLUTION: why is the sum of five consecutive integers divisible by five

Question 511052: why is the sum of five consecutive integers divisible by five
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
why is the sum of five consecutive integers divisible by five?
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Let n = the smallest integer
Then the other integers are n+1, n+2, n+3 and n+4
Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)
So the sum is always divisible by 5, for any value of n
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