Sequences and Series

A Little Light Thinking

Stage: 4 Challenge Level: Challenge Level:1

This problem encourages students to think about the properties of numbers. It could be used to consolidate work on linear sequences.

Summing Geometric Progressions

Stage: 4 and 5 Challenge Level: Challenge Level:1

This problem provides an introduction to summing geometric series, and allows students to discover for themselves the formulae used to calculate such sums.

Difference Dynamics

Stage: 4 and 5 Challenge Level: Challenge Level:1

This is an engaging investigation that quickly yields results and leads to conjectures and a lot of mathematical thinking and discussion.

Weekly Challenge 14: Mad Robot

Stage: 5 Short Challenge Level: Challenge Level:1

This short problem can be given to students who have been working on sequences or algorithms.

Black Box

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This problem is suited to tenacious problem solvers who will relish the intellectual challenge. Although determining the rules will be very challenging, the mathematics required to verify the rules is elementary (KS3).