TMUA 2017 Paper 1 Q11 — Worked Solution

P1·Sequences & Series·6.0Official · 2017 · Q11

recurrenceperiodic-sequencemodular-arithmetic

The sequence

x_{n}

is defined by the rules

x_{1} = 7, x_{n + 1} = \frac{23 x _{n} - 53}{5 x _{n} + 1} .

The first three terms in the sequence are

7

3

1

. What is the value of

x_{100}

Discussion

No discussions yet. Stuck, or want to share an approach? Start the first one.