lean_workbook_plus_70193

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Find the sequence $\{x_1, x_2, x_3, \ldots\}$ where $x_1=r$ and $x_k=2^{k-1} \cdot x_1$ for some real number $r$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_70193 (r : ℝ) (n : ℕ) : ∃ f : ℕ → ℝ, f 1 = r ∧ ∀ k, f k = (2 : ℝ)^(k-1) * f 1   :=  by sorry

Source