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Official 2022 Paper 1 · Q5

Paper 1Sequences & series

The terms xnx_n of a sequence follow the rule

xn+1=xn+pxn+qx_{n+1}=\frac{x_n+p}{x_n+q}

where pp and qq are real numbers.

Given that x1=3x_1=3, x2=5x_2=5, and x3=7x_3=7, find the value of x4x_4.

A−5-5
B55
C517\frac{51}7
D152\frac{15}2
E233\frac{23}3
F99
G1111
H1313

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