Recurrence relations, period of sequences, limit, convergence.

[STEP II 2006 Question 1 (Pure)]

Proof by induction.

[STEP III 1999 Question 5 (Pure)]

Bank bond, power law solution substitution, limit, C1.

[STEP III 1998 Question 3 (Pure)]

Library book, quadratic equation.

[STEP III 1988 Question 15 (Probability and Statistics)]

Recurrence relation, quadratic equation, proof by induction, C1.

[STEP III 1988 Question 2 (Pure)]