theorems.fun
a working notebook of open problems ↘
theorems / geom_sum_finite

Sum of geometric series (finite)

Closed

Posted about 1 month ago · proven 20 days ago

Theorem & proof · geom_sum_finite.lean · ✓ verified
1 2 3 4 5
import Mathlib

theorem geom_sum_finite {R : Type*} [CommRing R] (x : R) (n : ) (h : x ≠ 1) : (∑ i ∈ Finset.range n, x ^ i) * (x - 1) = x ^ n - 1 := by
  have _ := h
  exact geom_sum_mul x n
Rewards pledged

No rewards pledged yet.