Final answer:
The series provided ∑ −1001002n is not clearly geometric due to a lack of a common ratio. Without additional information, the sum cannot be determined. For a geometric series, a sum is calculated using the specific sum formula based on the first term and common ratio.
Step-by-step explanation:
To evaluate the geometric series ∑ −1001002n, we need to first identify the common ratio and the first term of the series. However, the series as provided does not seem to be geometric, as there is no clear common ratio between terms. Instead, it appears to be a typo or a misinterpretation of the problem. Without further information or clarification of the series pattern, we cannot proceed with the evaluation.
When handling geometric series, the sum can be found using the formula S = a1 / (1 - r), where S is the sum of the series, a1 is the first term, and r is the common ratio, provided that |r| < 1. If the series were correctly defined as geometric, we would use this formula to find the sum.