Question

The sum of 2 consecutive integers divided by 4 is 189.5

Answer 1

Answer:

That is not possible. The sum of consecutive integers must be odd, so the quotient will end in 0.25 or 0.75.

Step-by-step explanation:

Let n and n+1 represent two consecutive integers. Their sum will be ...

... sum = n + (n+1) = 2n+1

Dividing by 4 gives

... sum/4 = (2n+1)/4 = (1/2)n + 1/4

The term (1/2)n will have a decimal fraction part of either 0.0 or 0.5, depending on whether the first integer (n) is even or odd (respectively). Adding 1/4 to that will give a decimal fraction part of either 0.25 or 0.75.

The quotient given in the problem statement ends in 0.5, which does not match either 0.25 or 0.75.

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The sum of the consecutive even integers 378 and 380 will have a quotient of 189.5 when divided by 4.