Lesson Plan: Representing Sequences Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to represent a sequence as a function of a positive integer variable called an index (𝑛).

Objectives

Students will be able to

  • write an expression for the 𝑛th term of a given geometric or arithmetic sequence,
  • write an expression for the 𝑛th term of a given arithmetic sequence when given any numbered term and the common ratio,
  • write an expression for the 𝑛th term of a geometric sequence when given any numbered term and the common ratio,
  • find any numbered term of a sequence when given an expression for the 𝑛th term,
  • write out a sequence when given an expression for the 𝑛th term.

Prerequisites

Students should already be familiar with

  • arithmetic sequences,
  • geometric sequences.

Exclusions

Students will not cover

  • questions not involving the 𝑛th term of a sequence.

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