Sequences and Series


Sequences and Series

Sequences are everywhere in mathematics! In these problems you can explore some sequences, learn how to represent them, and how to calculate sums of series.

A Little Light Thinking link

A Little Light Thinking 

Stage: 4 Challenge Level: Challenge Level:1

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

Summing Geometric Progressions link

Summing Geometric Progressions 

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

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Difference Dynamics link

Difference Dynamics 

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

Take three whole numbers. The differences between them give you three new numbers. Find the differences between the new numbers and keep repeating this. What happens?

Weekly Challenge 14: Mad Robot link

Weekly Challenge 14: Mad Robot 

Stage: 5 Short Challenge Level: Challenge Level:1

A weekly challenge: these are shorter problems aimed at Post-16 students or enthusiastic younger students.

Black Box link

Black Box 

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

This black box reveals random values of some important, but unusual, mathematical functions. Can you deduce the purpose of the black box?