This activity is intended to supplement Calculus, Chapter 8, Lesson 1.
Changing the Common Ratio
Explore what happens when the common ratio changes.
1. What did you observe happens when you change the common ratio from positive to negative? Explain why this happens.
Changing the Initial Value and the Common Ratio
5. If the common ratio is less than -1, describe what occurs to the terms of the sequence.
Extension – Partial Sum Formula
The sum of a finite geometric series can be useful for calculating funds in your bank account, the depreciation of a car, or the population growth of a city.
In this example the common ratio is 2, the first term is 4, and there are 6 terms.
The general formula
Subtracting the previous two lines
Use the formula to find the sum of the following finite geometric series.