Chapter 14.4
Geometric series
What You'll Learn
Apply the geometric series formula to find sums of finite geometric sequences
Calculate the common ratio by dividing consecutive terms in a series
Distinguish between geometric sequences (with commas) and series (with operations)
Use the alternative formula when given first and last terms instead of number of terms
Solve real-world problems involving repeated percentage changes and cumulative distances
What You'll Practice
1
Finding sums of geometric series given the first 12 terms
2
Calculating series sums when given first and last terms without knowing n
3
Solving multi-step word problems with bouncing objects and percentage heights
4
Determining common ratios from series with positive and negative terms
Why This Matters
Geometric series are essential for modeling real-world situations involving exponential growth and decay, from calculating loan payments and investment returns to analyzing physics problems like bouncing balls. This skill is foundational for calculus, finance, and scientific applications.
Before You Start — Make Sure You Can:
This Unit Includes
3 Video lessons
Practice exercises
Skills
Geometric Series
Common Ratio
Series Formula
Sequences vs Series
Word Problems
Exponential Patterns
Percentage Applications
OH Curriculum Aligned
