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Problem 8 - Entrance Test

What is the value of the sum of the infinite series 1 - 1 + 1 - 1 + ...?

Correct: D

This is an alternating series, and we can use the formula for the sum of an alternating series to find its sum. However, a simpler way to evaluate this series is to group its terms: (1 - 1) + (1 - 1) + (1 - 1) + ... . Each group of terms in parentheses has a sum of zero, so the sum of the entire series is zero.