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.