# Maths KS3 / GCSE: Sequences

**A man is panicking because his plans for his niece's birthday party have so far been a disaster.**

He goes to the bakery to buy cupcakes, which he needs delivered to save time.

Using a linear sequence, he calculates the nth term, and then uses it to solve the total cost of the order.

The cakes are then sold in batches; where each one does not increase by the same amount, and hence the nth term of the quadratic sequence is found to solve the price of the larger batch of cakes.

This is from the series: Real Life Maths

*Teacher Notes*

*Students to use the video clip to up-skill their knowledge of how to find the nth term of a linear and quadratic sequence.*

*Provide students a project around crime figures and which particular house numbers are targeted and learners to spot patterns and predict the burglars next move and how the police can make an arrest.*

*The burglars then start targeting house numbers that don't go up by same amount presenting a quadratic sequence to solve and then predict the burglar’s next move.*

*Learners in groups of no more than 3 or 4, investigate: (a) Fibonacci sequence (b) Pascal’s Triangle (c) Triangular and square numbers (d) The Golden rule (e) Multiplication of bacteria Present their findings in a presentation.*

*Curriculum Notes*

*This clip will be relevant for teaching Maths at KS3/GCSE in England Wales and Northern Ireland. Also at National 4, 5 and Higher in Scotland.*

*This topic appears in OCR, Edexcel, AQA, WJEC in England and Wales, CCEA GCSE in Northern Ireland and SQA in Scotland.*