2021 Fall AMC 12B Problems/Problem 18
Revision as of 16:46, 24 November 2021 by Concavetriangle (talk | contribs) (Created page with "Set <math>u_0 = \frac{1}{4}</math>, and for <math>k \ge 0</math> let <math>u_{k+1}</math> be determined by the recurrence <cmath>u_{k+1} = 2u_k - 2u_k^2.</cmath> This sequenc...")
Set , and for let be determined by the recurrence
This sequence tends to a limit; call it . What is the least value of such that