Triangle, induction, degenerate, cases.

[STEP II 2015 Question 3 (Pure)]

Square root, general forms.

[STEP III 2011 Question 7 (Pure)]

Reurrence relations, differential equation, degrees of polynomial.

[STEP III 2009 Question 7 (Pure)]

Recurrence relation, difference equation.

[STEP III 2000 Question 8 (Pure)]

Hermite polynomial, differentiation, exponential function, coefficient.

[STEP II 1999 Question 3 (Pure)]

Iteration, proof.

[STEP II 1997 Question 2 (Pure)]

Pattern, cubes of integers, sum. [STEP I 1994 Question 7 (Pure)]

Telescoping sum, sum of cubes.

[STEP I 1995 Question 3 (Pure)]

Trigonometric series.

[STEP II 1994 Question 6 (Pure)]

Binomial coefficient, differential equations, arcsin function, Leibniz's rule.

[STEP III 1990 Question 5 (Pure)]