Based on the calculations, the number of integers in this set are 33.
Since the least integer of this set of consecutive even integer is -30. Thus, the sequence would be as follows:
-30, -28, -26, -24,....0.
Based on the given sequence, we have:
n/2[(2 × (-30)) + (n - 1) × 2] = 66
n [-30 + n - 1] = 66
n(n - 31) = 66
n² - 31n - 66 = 0
Factorizing the quadratic equation, we have:
n² - 33n + 2n - 66 = 0
n(n - 33) + 2(n - 33) = 0
(n - 33)(n + 3) = 0
Therefore, n = 33.
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