Geometric 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 a geometric series. They will also gain more experience in finding the nth term of a sequence/series.

Big Idea

Students work to derive the formula for the sum of a finite geometric series.

Opening Problem

12 minutes

Finding the nth Term of a Geometric Series – Deriving a Formula

10 minutes
Finding the nth Term of a Geometric Series - Deriving a Formula.docx page 1

Exit Slip and Homework

5 minutes

Exit Slip Question:  (to be completed on own)

A deposit of $200 is made on the first day of each month in a savings account that pays 8% compounded monthly. What is the balance in the account at the end of 2 years?