Full Series, Binomial & Counting Notes — Cambridge IGCSE Additional Mathematics 0606

Free foundation notes for the 2025–2027 Cambridge IGCSE Additional Mathematics 0606 syllabus.

Why this chapter matters

Series, binomial theorem, permutations and combinations are high-value for students aiming for stronger grades. They often reward method discipline: choosing the right formula, identifying whether order matters, handling factorials, and writing exact terms cleanly.

1. Arithmetic progression (AP)

An arithmetic progression has a constant difference.

Example:

$$ 3, 7, 11, 15, ... $$

The common difference is:

$$ d=4 $$

nth term of an AP

$$ u_n=a+(n-1)d $$

where:

• a = first term
• d = common difference
• n = term number

Sum of first n terms