Arithmetic sequences

There are 50 NRICH Mathematical resources connected to Arithmetic sequences
What numbers can we make now?
problem

What numbers can we make now?

Age
11 to 14
Challenge level
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Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
Unravelling Sequences
problem

Unravelling Sequences

Age
7 to 11
Challenge level
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Can you describe what is happening as this program runs? Can you unpick the steps in the process?
Maxagon
problem

Maxagon

Age
11 to 14
Challenge level
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What's the greatest number of sides a polygon on a dotty grid could have?
Growing Surprises
problem

Growing Surprises

Age
11 to 14
Challenge level
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Can you find the connections between linear and quadratic patterns?
Speedy summations
problem

Speedy summations

Age
16 to 18
Challenge level
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Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
Steel Cables
problem

Steel Cables

Age
14 to 16
Challenge level
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Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
Odds, Evens and More Evens
problem

Odds, Evens and More Evens

Age
11 to 14
Challenge level
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Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
Seven Squares
problem

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?
What numbers can we make?
problem

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?
Many Matildas
problem

Many Matildas

Age
11 to 14
Challenge level
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MatildaMatildaMatil... What is the 1000th letter?