The sum of 2 consecutive integers divided by 4 is 189.5

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.

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

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct