 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-3/7e/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Integration by parts, or the identities obtained by splitting

1 = t + (1 - t)

, gives

B (p, z + 1) = \frac{z}{p + z} B (p, z) .

Therefore

(p + z) B (p, z + 1) = z B (p, z) .

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