Stepping Stone 3: Arithmetic Sequences and Series

PC.F-BF.A.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

PC.F-LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Use sigma notation to represent a series.

Write the algebraic form of an arithmetic sequence.

Calculate the nth partial sum of an arithmetic series.

How do you form an arithmetic formula for a given sequence?

sigma notation

Arithmetic series

Sequence of partial sums