How can visual patterns be used to prove sums of series?
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
Simple additions can lead to intriguing results...
Find the sum of this series of surds.
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
Discover a way to sum square numbers by building cuboids from small cubes. Can you picture how the sequence will grow?
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
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?
A story for students about adding powers of integers - with a festive twist.