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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

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Imagine a diagonal line of cubes of increasing size, all made from unit cubes, placed on each of the squares marked with a blue lattice in the picture. Then imagine taking from these cubes all the layers except the bottom layer and arranging the bits according to the picture.