Lesson Plan: Recursive Formula of a Sequence | Nagwa Lesson Plan: Recursive Formula of a Sequence | Nagwa

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Lesson Plan: Recursive Formula of a Sequence Mathematics

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This lesson plan includes the objectives and prerequisites of the lesson teaching students how to find the recursive formula of a sequence.

Objectives

Students will be able to

  • understand that a recursive formula is used to define each term in a sequence as a function of the previous term,
  • find the recursive formula of a sequence given the first few terms of that sequence,
  • find the recursive formula of a sequence given the 𝑛th term of that sequence,
  • find terms in a sequence given the recursive formula and a term in the sequence,
  • identify whether a sequence is increasing or decreasing using its recursive formula,
  • identify whether a sequence is periodic using its recursive formula and find its order.

Prerequisites

Students should already be familiar with

  • arithmetic and geometric sequences,
  • finding the 𝑛th term of an arithmetic or geometric sequence,
  • arithmetic and geometric series,
  • sigma notation.

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