Example 1

Find the constant ratio, write the explicit formula, and find the seventh term for the following geometric sequence: 3, 1.5, 0.75, 0.375, …

[list=1] [*]Find the constant ratio by dividing two successive terms. [*]Confirm that the ratio is the same between all of the terms. [*]Identify the first term [math](a_1)[/math]. [*]Write the explicit formula. [*]To find the seventh term, substitute 7 for [math]n[/math]. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.