Discussion
Find the value of: \(1 - 2 + 3 - 4 + 5 - 6 + ... + 99 - 100\).
Answer: A
We can group the terms in pairs:
(1 - 2) + (3 - 4) + (5 - 6) + ... + (99 - 100).
Each pair sums to -1.
There are 100 terms in total, so there are 100/2 = 50 such pairs.
The total sum is 50 × (-1) = -50.
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