 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-1/9e/c/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

False. The sequence

a_{n} = (- 1)^{n} / n

converges to zero, but

∣ a_{n + 1} - a_{n} ∣ = 1/ n + 1/ (n + 1)

, whose series diverges.

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