TMUA 2022 Paper 1 Q5 — Worked Solution

P1·Sequences & Series, Algebra & Surds·5.0Official · 2022 · Q5

recurrence-relationsimultaneous-equationssubstitution

The terms

x_{n}

of a sequence follow the rule

x_{n + 1} = \frac{x _{n} + p}{x _{n} + q}

where

p

and

q

are real numbers.Given that

x_{1} = 3

x_{2} = 5

, and

x_{3} = 7

, find the value of

x_{4}

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