LO: use term to term rules for sequences

'Terms' are just numbers in a sequence (pattern)

In the sequence above, the first term is 3 and the 'term-to-term' rule is 'add 2' - this means we start with 3 and add 2 each time

Use first term 10, rule x3 would give:  10, 30, 90, 270,...

First term 100, rule divide by 2 would give:  100, 50, 25, 12.5, 6.25,...

If you are trying to find the term-to-term rule for a sequence it is a good idea to find the 'differences' first - this is the 'jump' from one term to the next

For the sequence above, the differences are all +4, so the term-to-term rule is +4

Find the differences for this sequence:  2, 4, 8, 16, 32,...

You should have found the differences were +2, +4, +8, +16 - so this time the term-to-term rule is not a simple adding rule but a multiplying rule, in fact x2 is the rule here

Have a go at questions 1-5 below - mark your work as you go (answers at bottom of page) and upload a photo before the end of the lesson.  There are extension questions below if you finish quickly.

Extension: