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Sums of Powers - A Festive Story

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Slick Summing

Watch the video to see how Charlie works out the sum. Can you adapt his method?

Picture Story

Age 11 to 16 Challenge Level:
Take a look at the video below.

Can you describe what happens?

Can you explain how the video might continue, if more little cubes were available?

Can you be sure that the patterns in the video will carry on?

Can you use algebra to represent the patterns you saw?