Challenge Level

Younger learners can work with numbers and find out what happens to the sequence.

As you work out more terms does the value seem to get closer to a particular number? Are the values always greater than that number? Why do you think this happens?

If you want to go on to use algebra, a bit of algebra will help you to explain what happens and to prove that there is a limiting value for this sequence. However you will have to know how to multiply two bracketed terms together to do this so it might be something to come back to when you have learnt a little more algebra.