Functional Relationships
Virginia SOL MA.FR.3
Analyze sequences and finite series, and model and solve problems in context using sequences and series.
What students need to be able to do
- Use and interpret the notation: ∑, n, nth, and an.
- Derive the formulas associated with arithmetic and geometric sequences and series.
- Determine the nth term, an, for an arithmetic or geometric sequence.
- Determine the sum, Sn, if it exists, of an arithmetic or geometric series.
- Model and solve problems in context using sequences and series.
- Distinguish between a convergent and divergent series.
- Describe convergent series in relation to the concept of a limit.