import Mathlib

set_option maxHeartbeats 0

open BigOperators Real Nat Topology Rat

theorem induction_sum_1oktkp1 (n : ℕ) :
  (∑ k ∈ Finset.range n, (1 : ℝ) / ((k + 1) * (k + 2))) = n / (n + 1) := by sorry