Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.
Seeing Structure in Expressions
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write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
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).
Derive the formula for the sum of a geometric series (when the common ratio is not 1), and use the formula to solve problems. (e.g., Calculate mortgage payments.)