Sequences and Series

A Little Light Thinking

Age 14 to 16
Challenge Level

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

Summing Geometric Progressions

Age 14 to 18
Challenge Level

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

Age 14 to 18
Challenge Level

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

Mad Robot

Age 16 to 18 Short
Challenge Level

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