Geometric sequences have great connections to exponential functions. This foldable set of notes includes examples of identifying whether or not a sequence is exponential (and finding the common ratio, r, if it is), extending geometric sequences to find the next three terms, graphing a geometric sequence so students can see the exponential connection, writing equations for the nth term of geometric sequences, and writing and solving an equation to find the term number of a given value. 13 examples are included!

Topics included:

• Identifying whether or not a sequence is geometric (and finding the common ratio, r, if it is),
• Extending geometric sequences to find the next three terms,
• Graphing a geometric sequence so students can see the exponential connection,
• Writing equations for the nth term of geometric sequences, and
• Writing and solving an equation to find n, the term number, of a given value.
  • ⚠️This requires students to solve exponential equations using common bases. If your students need help, check out this set of notes on solving exponential equations with common bases.

All examples have been thoughtfully chosen to generate discussions about misconceptions and common mistakes, and the notes themselves have been designed to fit perfectly in an interactive notebook.

⚠️This set of notes requires students to solve exponential equations using common bases. If your students need help reviewing this topic, check out this set of notes on solving exponential equations with common bases.

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