Discussion
The sum of the series \(1 - 2 + 3 - 4 + ...\) up to 100 terms is:
Answer: B
Group the 100 terms into 50 consecutive pairs.
\[ (1-2) + (3-4) + \cdots + (99-100) \]
\[ = 50 \times (-1) = -50 \]
With an odd number of terms the last one would be unpaired and the sum positive.
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