MathDB

2000 HMMT RMT Team #14

Source:

March 8, 2024

algebra

Problem Statement

Define a sequence

<x_n>

of real numbers by specifying an initial

x_0

and by the recurrence

x_{n+1}=\frac{1+x_n}{1-x_n}

. Find

x_n

as a function of

x_0

and

n

, in closed form. There may be multiple cases.

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