Arithmetic sequences

There are 49 NRICH Mathematical resources connected to Arithmetic sequences
Next Domino
problem
Favourite

Next domino

Age
5 to 7
Challenge level
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Which comes next in each pattern of dominoes?
Charlie's delightful machine
problem
Favourite

Charlie's delightful machine

Age
11 to 16
Challenge level
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Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Buzzy Bee
problem
Favourite

Buzzy bee

Age
5 to 7
Challenge level
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Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?
More Number Pyramids
problem
Favourite

More number pyramids

Age
11 to 14
Challenge level
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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

What numbers can we make?
problem
Favourite

What numbers can we make?

Age
11 to 14
Challenge level
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Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

Missing Middles
problem
Favourite

Missing middles

Age
5 to 7
Challenge level
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Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?
Seven Squares - Group-worthy Task
problem
Favourite

Seven squares - group-worthy task

Age
11 to 14
Challenge level
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Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
Seven Squares
problem
Favourite

Seven squares

Age
11 to 14
Challenge level
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Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?
Domino Sequences
problem
Favourite

Domino sequences

Age
5 to 7
Challenge level
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Find the next two dominoes in these sequences.
Coordinate Patterns
problem
Favourite

Coordinate patterns

Age
11 to 14
Challenge level
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Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?