# Science:Math Exam Resources/Courses/MATH307/April 2009/Question 07 (b)

MATH307 April 2009

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### Question 07 (b)

Given the recurrence relation ${\displaystyle x_{n+1}=3x_{n}-2x_{n-1}}$ with the initial condition ${\displaystyle x_{0}=a}$ and ${\displaystyle x_{1}=b}$.

(b) For what values of a and b will the sequence ${\displaystyle x_{0},x_{1},x_{2},...}$ converge to a finite limit?

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