MathDB
Sequence

Source: 2006 AIME A Problem 15

March 9, 2006
functioninequalitiesAMCAIMEabsolute value

Problem Statement

Given that a sequence satisfies x0=0x_0=0 and ∣xk∣=∣xk−1+3∣|x_k|=|x_{k-1}+3| for all integers k≥1,k\ge 1, find the minimum possible value of ∣x1+x2+⋯+x2006∣|x_1+x_2+\cdots+x_{2006}|.
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