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Suppose the following sums are given. Σ_{i=1}^{111} a_=-42

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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.

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