What you need to know
Check yourself against these “I can” statements.
- I can find the nth term and the sum of an arithmetic series, and prove the sum formula
- I can find the nth term and the sum of a geometric series, and prove the sum formula
- I can find the sum to infinity of a convergent geometric series
- I can use sigma notation for a series
- I can generate sequences from recurrence relations and describe how they behave
- I can model real situations with sequences and series
Practise this topic
5 resourcesSequences and Series: Spot the Mistake
A student’s working with a mistake a real student would make (or, about 1 in 8 times, no mistake at all): tap the line you think is wrong, or No mistake, then reveal it, the corrected working and why. One level for each part of…
🧩 ConnectionsSequences & Series
Arithmetic and geometric sequences described by their terms, nth-term rule, recurrence, a particular term, a partial sum or a sum to infinity.
📋 Unit reviewSequences and Series: Exam Questions
Exam-style questions on the whole Sequences and Series chapter, researched from real papers, with mark schemes in the examination’s notation (M, A, B, dM, ft, cso and the AO codes): arithmetic and geometric series and the proofs…
⬢ BlockbustersSequences and Series: Spot the Mistake Blockbusters
Blockbusters with the questions from the Sequences and Series: Spot the Mistake worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the…
🧮 ToolVisual Proofs
Animated visual proofs of Pythagoras’ theorem, of the sums of integers, odd numbers, squares and cubes, and of key results in algebra, geometric series, trigonometry and inequalities. They play like Shape Formulas: drag the bar…
These are the pages for Sequences and series in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.