Finding Sums of Infinite Geometric Series – Convergent vs Divergent Practice

This comprehensive and fully editable Algebra 2 worksheet is designed to help students master Finding Sums of Infinite Geometric Series, with a strong focus on identifying convergent vs. divergent series and applying the infinite sum formula. Perfect for classwork, homework, or independent practice, this resource blends conceptual understanding with real-world applications.

Aligned with Common Core Standard HSF.BF.A.2, this worksheet reinforces key Algebra 2 skills, including:

• Writing recursive and explicit formulas for geometric sequences
• Determining whether an infinite geometric series converges or diverges
• Using the formula S = a / (1 - r) to calculate sums of convergent series
• Solving application-based problems using series concepts
• Analyzing and justifying series behavior

What’s Included:

• Warm-Up Section with essential vocabulary and prerequisite skill review
• Part B: Concept Check – 10 problems identifying convergent or divergent series
• Part C: Sum of Infinite Series – 10 problems applying the sum formula
• Part D: Application Problems – 10 word problems based on real-life contexts
• Part E: Analyzing Series Behavior – 10 problems focused on reasoning and explanation
• Complete Answer Key for every section
• Editable Format in Microsoft Word – easily customize to fit your class needs

Standards Alignment:

• HSF.BF.A.2 – Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

Ideal for:

• Daily practice or homework
• Spiral review and test prep
• Sub plans or extra credit
• Reinforcement of Algebra 2 concepts

This worksheet provides clear structure, a variety of question types, and real-world relevance, all while being flexible enough for differentiated instruction. With the included answer key and editable file, it’s ready to print or adapt for your classroom right away.

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!