Lesson Plan: Finding the nth Term of a Geometric Sequence Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to write explicit and recursive formulas for geometric sequences to find the value of the ๐‘›th term in a geometric sequence and how to find a termโ€™s order given its value.

Objectives

Students will be able to

  • find the recursive rule for a geometric sequence,
  • find the number of terms in a given geometric sequence,
  • find the ๐‘›th term rule for a geometric sequence,
  • use the recursive rule or the ๐‘›th term rule to find the value of a numbered term in a geometric sequence,
  • use the recursive rule or the ๐‘›th term rule to find a termโ€™s order in a geometric sequence when given its value.

Prerequisites

Students should already be familiar with

  • the definition of a geometric sequence,
  • term-to-term rules,
  • ๐‘›th term rules.

Exclusions

Students will not cover

  • geometric series.

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