Sequences and Series

problem

Favourite

A little light thinking

Age

14 to 16

Challenge level

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

problem

Favourite

Summing geometric progressions

Age

14 to 18

Challenge level

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

problem

Difference dynamics

Age

14 to 18

Challenge level

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?

problem

Mad robot

Age

16 to 18

Challenge level

Can you work out what happens when this mad robot sets off?

list