Arithmetic sequences
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problemWhat numbers can we make now?
Imagine we have four bags containing numbers from a sequence. What numbers can we make now?
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problemCharlie's delightful machine
Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?
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problemA little light thinking
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
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problemSteel cables
Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
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problemMystic rose
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
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problemPrime sequences
This group tasks allows you to search for arithmetic progressions in the prime numbers. How many of the challenges will you discover for yourself? -
problemSpeedy summations
Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
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problemPolite numbers
A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?