To introduce the concept of a series
To introduce the arithmetic and geometric series
To provide a kind of brief reference and overview of series in general
This packet introduces the learner to series, including arithmetic and geometric series.
Though this packet has a fairly easy entry, it may still be helpful to be familiar with sequences and with summation notation.
(For a proof that the arithmetic series converges, see this packet on induction.)
In this video, we derive the formula for the sum of a geomtric series, both finite and infinite.