Arithmetic Sequences

Overview

Goal. Recognize an arithmetic sequence, find its common difference, write explicit and recursive formulas for it, and use the explicit formula to find any term.

Arithmetic sequence (definition). A sequence in which the difference between every pair of consecutive terms is the same constant. That constant is called the common difference, d.

Common difference, the explicit formula a_n = a_1 + (n − 1)d, recursive rules.

Lesson Notes

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Notes page

Lesson Video

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Interactive Activity

Goal. Find the common difference of an arithmetic sequence, write its explicit formula a_n = a_1 + (n − 1)d, and use it to jump straight to any term.

Arithmetic sequence (definition). A sequence in which the difference between consecutive terms is constant. That constant is the common difference, d.

Arithmetic Sequences — Interactive ActivityOpen ›