How can visual patterns be used to prove sums of series?

Discover a way to sum square numbers by building cuboids from small cubes. Can you picture how the sequence will grow?

Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

Which of these pocket money systems would you rather have?

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

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

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