MathDB
2020 Team 14

Source:

February 2, 2020
team2020

Problem Statement

Let a0=1a_0=1 and for all n≥1n\ge 1 let ana_n be the smaller root of the equation 4−nx2−x+an−1=0.4^{-n}x^2-x+a_{n-1} = 0. Given that ana_n approaches a value LL as nn goes to infinity, what is the value of LL?
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