Official papers

Official 2017 Paper 1 · Q11

Paper 1Sequences & series

The sequence xnx_n is defined by the rules

x1=7x_1=7
xn+1=23xn−535xn+1x_{n+1}=\frac{23x_n-53}{5x_n+1}

The first three terms in the sequence are 7, 3, 1.

What is the value of x100x_{100}?

A−5-5
B00
C11
D33
E77

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