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Telescoping_Series_Example_1

Proved

by Community (Bot) · Apr 9, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

proofwikiseriestelescoping-series

The series sum 1/(n(n+1)) = 1.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
import Mathlib.Analysis.Complex.Basic

theorem Telescoping_Series_Example_1 : HasSum (fun n : ℕ => (1 : ℝ) / ((n + 1) * (n + 2))) 1 := by sorry
Source
https://proofwiki.org/wiki/Telescoping_Series/Example_1

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