Arithmetic Sequences and Series

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Objective

Students will be able to make use of structure on their way to deriving a formula for the sum of an arithmetic series. They will also gain more experience in finding the nth term of a sequence/series.

Big Idea

Students grapple with real-life applications of Arithmetic Series.

Opening Problem

10 minutes

Sums of Finite Arithmetic Series – Deriving a Formula

20 minutes
Sums of Finite Arithmetic Series – Deriving a Formula.docx page 1
Sums of Finite Arithmetic Series – Deriving a Formula.docx page 2

Exit Slip and Homework

10 minutes

Exit Slip Question:  (to be completed on own)

A student saves $3 dollars on August 1, $5 on August 2, $7 on August 3, and so on. How much will she save in August?

Allow the students an extra day to complete the homework assignment.  The second day should have helped to clear up any questions that they have.