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Sums of Powers - A Festive Story

A story for students about adding powers of integers - with a festive twist.

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Slick Summing

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

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Summing Geometric Progressions

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

Picture Story

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?