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Lesson Plan: Recursive Formula of a Sequence Mathematics
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 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 term of an arithmetic or geometric sequence,
- arithmetic and geometric series,
- sigma notation.
