Module 6: Sequences & Series
Master arithmetic and geometric sequences, summation notation, and real-world applications
Your Progress
Complete all lessons, practice, and assessments to earn your Module 6 badge!
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Learning Objectives
By the end of this module, you will be able to:
- Find terms of arithmetic sequences using explicit and recursive formulas
- Calculate sums of arithmetic series using the arithmetic series formula
- Find terms of geometric sequences and identify common ratios
- Calculate sums of finite and infinite geometric series
- Use summation notation to write and evaluate series
- Apply sequences and series to solve real-world problems in finance, physics, and other fields
Lessons
Work through each lesson in order. Each lesson includes examples, interactive visualizations, and check-your-understanding questions.
Arithmetic Sequences and Series
Master arithmetic sequences with constant differences and learn to calculate sums using the arithmetic series formula.
Geometric Sequences and Series
Explore geometric sequences with constant ratios and learn to find sums of finite and infinite geometric series.
Summation Notation and Series
Learn to use sigma notation to write and evaluate series efficiently and understand properties of summation.
Applications of Sequences and Series
Apply sequences and series to real-world problems including compound interest, annuities, and population growth.
Assessments & Practice
Pre-Assessment
5 questions to gauge your starting knowledge
Not StartedPractice Problems
20 comprehensive problems with detailed solutions
Not StartedModule Quiz
15-question quiz (70% to pass)
Not StartedPost-Assessment
5 questions to measure your learning gains
Not StartedStudy Materials
Ready to Begin?
Start with the pre-assessment to see what you already know!