### There are 9 results

Broad Topics >

Patterns, Sequences and Structure > Geometric sequences

##### Age 14 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

Simple additions can lead to intriguing results...

##### Age 14 to 16 Challenge Level:

Explore what happens when you draw graphs of quadratic equations
with coefficients based on a geometric sequence.

##### Age 14 to 18 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

Find the decimal equivalents of the fractions one ninth, one ninety
ninth, one nine hundred and ninety ninth etc. Explain the pattern
you get and generalise.

##### Age 14 to 16 Challenge Level:

If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.

##### Age 7 to 14 Challenge Level:

In this investigation, we look at Pascal's Triangle in a slightly different way - rotated and with the top line of ones taken off.

##### Age 11 to 14 Challenge Level:

Which of these pocket money systems would you rather have?

##### Age 7 to 14 Challenge Level:

Can you predict, without drawing, what the perimeter of the next shape in this pattern will be if we continue drawing them in the same way?