# Resources tagged with: Limits of Sequences

### There are 6 results

Broad Topics >

Patterns, Sequences and Structure > Limits of Sequences

##### Age 11 to 14

Challenge Level

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

##### Age 14 to 16

Challenge Level

The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?

##### Age 7 to 14

Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens?

##### 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 18

An article introducing continued fractions with some simple puzzles for the reader.

##### Age 14 to 18

Challenge Level

By inscribing a circle in a square and then a square in a circle
find an approximation to pi. By using a hexagon, can you improve on
the approximation?