There are 10 NRICH Mathematical resources connected to Summation of series, you may find related items under Patterns, Sequences and Structure.Broad Topics > Patterns, Sequences and Structure > Summation of series
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
Find the sum of this series of surds.
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
How can visual patterns be used to prove sums of series?
Which of these pocket money systems would you rather have?
Simple additions can lead to intriguing results...
Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?
Watch the video to see how Charlie works out the sum. Can you adapt his method?
Discover a way to sum square numbers by building cuboids from small cubes. Can you picture how the sequence will grow?
A story for students about adding powers of integers - with a festive twist.