Substitution, conjecture, proof, difference equation.

[STEP I 2014 Question 6 (Pure)]

Difference equations, proof by induction, convergence to limit.

[STEP II 2013 Question 6 (Pure)]

Recurrence relations, factorisation, cubics.

[STEP I 2012 Question 7 (Pure)]

Difference equations, recurrence, period of sequences, C1.

[STEP II 2008 Question 1 (Pure)]

Recurrence relation, decimal places, digit, numbers, C1.

[STEP I 1997 Question 3 (Pure)]