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 Age 14 to 16
Challenge Level
Challenge Level
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 Age 14 to 18
Challenge Level
Challenge Level
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
Difference Dynamics Age 14 to 18
Challenge Level
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?
Mad Robot Age 16 to 18 Short
Challenge Level
Challenge Level
Can you work out what happens when this mad robot sets off?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.