Best Answer

False.

let the integers be n, n+1 and n+2

3n+3 is there sum and we need this to be even for all integers n.

if n is odd, then 3n is odd ( take n=5 3x5=15 odd)

any odd number +3 is even.

if n is even, then 3n is even and an even number plus and 3 is odd so the answer is false

You could just say or prove it is false with a single counter example.

Take the 3 consecutive integers, 2,3,4 their sum is 9 and you are done.

I mentioned the 3n+3 so you can see why it is false for even set of 3 when the first of the 3 consecutive numbers is even.

Q: The sum of three concecutive integers is even true or false?

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Three even integers.Three even integers.Three even integers.Three even integers.

The three integers are 25, 26, and 27.

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The integers are -14, -12 and -10.

The integers are -16 and -14.

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There is no solution. The sum of multiple even integers will always be even, and -7 is odd.

34 & 36

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Any set of three odd integers must be odd - for example, 3 + 5 + 7 = 15. Similarly, the sum of an even number of odd integers added together will always be an even integer.

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The integers are -30, -28 and -26.

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The integers are 44, 46 and 48.