List

Sequences and Series

A little light thinking
problem
Favourite

A little light thinking

Age
14 to 16
Challenge level
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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
problem
Favourite

Summing geometric progressions

Age
14 to 18
Challenge level
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Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Difference Dynamics
problem

Difference Dynamics

Age
14 to 18
Challenge level
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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?
Mad robot
problem

Mad robot

Age
16 to 18
Challenge level
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Can you work out what happens when this mad robot sets off?