# Resources tagged with: Mathematical induction

### There are 5 results

Broad Topics >

Using, Applying and Reasoning about Mathematics > Mathematical induction

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

Find the values of n for which 1^n + 8^n - 3^n - 6^n is divisible
by 6.

##### Age 7 to 18 Challenge Level:

Libby Jared helped to set up NRICH and this is one of her favourite
problems. It's a problem suitable for a wide age range and best
tackled practically.

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

A walk is made up of diagonal steps from left to right, starting at
the origin and ending on the x-axis. How many paths are there for 4
steps, for 6 steps, for 8 steps?

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

How many ways can the terms in an ordered list be combined by
repeating a single binary operation. Show that for 4 terms there
are 5 cases and find the number of cases for 5 terms and 6 terms.

##### Age 14 to 16

The tangles created by the twists and turns of the Conway rope
trick are surprisingly symmetrical. Here's why!