 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2022/paper-1/5/a/solution

Pair adjacent terms in the finite sum:

(- 2 + 4) + (- 6 + 8) + \dots + (- 98 + 100) .

There are

25

pairs, each equal to

2

. The result is

50

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