Q: What are four consecutive integers and the sum is 114?

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27 + 28 + 29 + 30 = 114

118

The integers are 37, 38 and 39.

The four consecutive integers with the sum of -66 are -18, -17, -16 and -15.

The sum of the first four non-negative, consecutive, even integers is 20.

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27 + 28 + 29 + 30 = 114

The numbers are 27, 28, 29 and 30.

118

The integers are 37, 38 and 39.

The four consecutive integers with the sum of -66 are -18, -17, -16 and -15.

The integers are 27, 28, 29 and 30.

27+28+29+30=114

The numbers are 56 and 58.

The sum of the first four non-negative, consecutive, even integers is 20.

The smallest is -1

If n is the smallest of the four integers, their sum is 4n+6.

No. The sum of four consecutive integers is two odd numbers plus two even numbers which is an even number. 2001 is an odd number, therefore it cannot be the sum of four consecutive numbers.