Grade 10 · Algebra · 83 pages · PDF

Sequences

Clear, exam-focused notes on linear, quadratic and geometric sequences, special number patterns and finding the nth term, with fully worked examples.

A complete 22-page IGCSE guide to sequences. It starts with term-to-term and position-to-term rules, then teaches finding the nth term of linear sequences, including from two given terms. It then covers quadratic sequences using second differences, and geometric sequences with a common ratio, including a depreciation example. It also covers the special sequences students must recognise (square, cube and triangular numbers, Fibonacci and powers of 2), and a method for identifying any sequence type. The final section uses the nth term to find terms, test whether a number is in a sequence, and solve problems in context. Every method comes with step-by-step worked examples and checks. It ends with a formula summary and exam tips.

What's in the pack

Every item can be bought on its own. Buy several together and the price drops.

• Solutions · 27 pages

  Solutions

  Every worksheet question worked in full.

  Read the first 4 pages
  €9.99Add

• Main Notes · 23 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

  Read the first 4 pages
  €9.99Add

• Cheatsheet · 2 pages

  Cheatsheet

  The whole topic on a page or two, for the night before.

  Read the first 2 pages
  FreeAdd for free

• Worksheet · 31 pages

  Worksheet

  Practice questions in the order the notes teach them.

  Read the first 4 pages
  €11.99Add

Topics covered

• Term-to-term and position-to-term rules
• Linear sequences and the common difference
• Finding the nth term of a linear sequence
• Finding the nth term from two given terms
• Quadratic sequences and second differences
• Finding the nth term of a quadratic sequence
• Geometric sequences and the common ratio
• Square, cube and triangular numbers
• Fibonacci sequence and powers of 2
• Identifying the type of sequence
• Finding missing terms
• Using the nth term to solve problems

Format

Print-ready PDF

Items

4

Delivery

By email