[[Block 1 introduction]] / [[Sequences overview]] / 1.1.5 Generate a sequence # Generate a sequence given a rule #### Need to be able to: - Generate terms from a position-to-term (also known as an [[Nth term rule|nth term]]) rule. >[!note] >- There are lots of opportunities for looking at a variety of different types of sequences. >- *This small step may be looked at after work on [[Substitute into expressions|substitution]]*. > [!success]- Demonstrate understanding > *Being able to answer questions like all of these is needed to show understanding:* > 1. Substitute $n = 1,2,3,4,5$ into $3n + 2$ and $3n + 3$. What do you notice? > 2. Substitute $n = 1,2,3,4,5$ into $3n + 5$, $6n + 5$ and $6n+10$. What do you notice? >[!Example]- Vocabulary >*This vocabulary needs to be properly understood as part of this small step:* > > [!warning]- Misconceptions > *These are things that people commonly misunderstand about this small step.* > [!Extension]- > *Extension is about digging deeper into the concept(s) in the small step, not introducing new or 'harder' content. Learning later content is easier if understanding is deeper.* > >