Arithmetic Sequence Rules and Recurrence Relations

What this note covers

1. What Is an Arithmetic Sequence?
2. The Explicit Rule: t_n = t1 + (n−1)d
3. The Recurrence Relation: tn+1 = t_n + d
4. Finding the Common Difference and Unknown Terms
5. Solving Simultaneous Equations to Find t1 and d
6. Arithmetic Sequences and Linear Graphs
7. Identifying Whether a Sequence is Arithmetic: A Decision Framework

7 sections · 14 key terms & formulas · 6 common mistakes