Final answer:
The sum Σ_{i=1}^{111} a_=-42 is -5556.
Step-by-step explanation:
The given expression Σ_{i=1}^{111} a_=-42 represents the sum of the values of 'a' from i=1 to i=111, where the value of each 'a' is -42.
Using the formula for the sum of an arithmetic series, we can find the value of the sum:
Sum = number of terms * (first term + last term) / 2
Here, the number of terms is 111, the first term is -42, and the last term is also -42. Substituting these values into the formula, we get:
Sum = 111 * (-42 + (-42)) / 2 = 111 * (-84) / 2 = -5556.