Summation.
[STEP II 2011 Question 7 (Pure)]
Difference equations, proof by induction, geometric progression, period of sequences.
[STEP III 2005 Question 4 (Pure)]
Difference equations, sequence, proof, period of sequences, C1-ish.
[STEP III 2004 Question 6 (Pure)]
Sequence, strictly increasing, inequality, proof, C1.
[STEP I 2004 Question 8 (Pure)]
Underground Mathematics: Selected worked STEP questions
STEP Question database
University of Cambridge Mathematics Faculty: What do we look for?
University of Cambridge Mathematics Faculty: Information about STEP
University of Cambridge Admissions Office: Undergraduate course information for Mathematics
Stephen Siklos' "Advanced Problems in Mathematics" book (external link)
MEI: Worked solutions to STEP questions (external link)
OCR: Exam board information about STEP (external link)
AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)