A quick recap, then a step up
You already know the two kinds of rule β now you will use them with more power.
In Grade 6 you met two ways to describe a sequence. A term-to-term rule tells you how to step from one term to the next β for the rule is "add 4". A position-to-term rule works out any term straight from its position number .
This year you go deeper. You will find the nth-term rule of any linear sequence quickly, use it to answer "which term is this?" questions, and handle sequences that go down as well as up.
The big idea this year is fluency. You should be able to look at and write its rule, , almost on sight. That speed frees your brain for the more interesting questions β like whether 403 is a term of that sequence.
Keep your Grade 6 toolkit handy; this guide builds straight on top of it.
- A term-to-term rule steps between neighbouring terms.
- A position-to-term rule finds a term from its position .
- Stage 8 focuses on fluency with the nth-term rule.
- These ideas build directly on your Grade 6 work.