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@@ -1,5 +1,8 @@import Mathlib open Finset BigOperators Filter Topology import Mathlib.Algebra.Field.GeomSum import Mathlib.Analysis.RCLike.Basic import Mathlib.Tactic.IntervalCases import Mathlib.Tactic.Rify open Finset Filter Topology -- Important: b should be in ℝ so that it's real div not nat div lemma geom_sum (N : ℕ) (b : ℝ) (hN : 2 ≤ N) (hb : 2 ≤ b) : ∑ a ∈ Ico 2 N, 1 / (b ^ a) = 1 / (b - 1) - 1 / b - 1 / (b ^ (N - 1) * (b - 1)) :=
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