Are sequences and series in Paper 1 or Paper 2?

Topic 2 is Pure Mathematics and can appear in Paper 1 (100 marks) or Paper 2 Section A (40 marks). Financial modelling and recurrence questions are common long-structured questions.

Do I need to memorise the sum formulas for AP and GP?

Yes. The AP and GP sum formulas are not provided in the SEAB MF26/MF27 formula booklet, so they must be memorised. The standard sigma identities (\$\sum k = n(n+1)/2\$, \$\sum k^2\$) also need to be known.

How do I prove a recursive sequence converges?

The standard approach for H2 Maths is: (1) assume the limit \$L\$ exists and solve \$L = f(L)\$ for the fixed point; (2) prove the sequence is monotonic (via the sign of \$u\{n+1\} - un\$); (3) prove it is bounded (above if increasing, below if decreasing). All three steps together establish convergence. ---

H2 Maths Sequences & Series Notes | AP, GP & Sigma

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07 Oct 2025, 00:00 Z· Last updated 13 Jan 2026

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Marcus Pang·Managing Director (Maths)

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Q: What does H2 Maths Notes (JC 1-2): 2.1) Sequences and Series cover?
A: Convergence tests, AP/GP formulae, sigma notation, and standard H2 sequences problem types.

Before you revise
Keep a separate page for identities: arithmetic/geometric sums, binomial expansions, and standard limits. Most errors come from mixing up first term and common ratio definitions.

Status: SEAB H2 Mathematics (9758, first exam 2026) syllabus last checked 2026-01-13 (PDF last modified 2024-10-16). Topic 2.1 scope unchanged; Pure Mathematics is assessed in Paper 1 (100 marks) and Paper 2 Section A (40 marks).

Core Definitions

A sequence is an ordered list of terms ${u_n}$ . The nth partial sum is $S_n = u_1 + u_2 + \dots + u_n$

H2 Maths Sequences & Series Notes | AP, GP & Sigma

Core Definitions

Convergence and Limits

Sigma Notation and Manipulation

Arithmetic and Geometric Applications

Binomial Links

Calculator Workflow

Exam Watch Points

Practice Quiz

Quick Revision Checklist

Common exam mistakes

Frequently asked questions

Sources

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