Sequences & Series Worksheet: Arithmetic vs Geometric | Algebra 2 | CCSS Aligned

This Sequences and Series Worksheet for Algebra 2 is a comprehensive, classroom-ready resource designed to help students master arithmetic and geometric sequences. Aligned to Common Core Standard HSF.BF.A.2, this worksheet provides a full 90–120 minutes of rigorous practice on identifying sequences, writing recursive and explicit formulas, finding terms, and modeling real-world situations.

Whether used for instruction, review, test prep, or independent work, this worksheet ensures students engage with key concepts through structured and varied problem sets.

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.

Resource Includes:

• Fully editable worksheet file
• Complete answer key
• Definitions of key terms
• Scaffolded question structure for skill progression
• Real-world application problems for deeper understanding
• Clear section labels for ease of use and differentiation

Worksheet Outline:

Part A: Warm-Up and Key Terms

• 5 review questions on evaluating expressions, exponents, and square roots
• Definitions of critical vocabulary terms (sequence, term, recursive formula, etc.)

Part B: Identifying Types of Sequences

• 10 questions distinguishing arithmetic, geometric, or neither
• Identification of common difference or ratio

Part C: Writing Formulas

• 10 sequences with tasks to write both recursive and explicit equations

Part D: Finding Terms

• 10 problems requiring use of explicit formulas to find specific terms

Part E: Application Problems

• 10 contextual problems involving growth, decay, depreciation, and trends

Part F: Real-World Modeling

• 10 modeling tasks to translate scenarios into recursive or explicit sequences

Designed For:

• Algebra 2 classrooms
• Spiral review or focused unit instruction
• Homework, test prep, or sub plans
• Use in both digital and print formats

Key Features:

• 100% Editable – Easily adapt to meet classroom needs
• Answer Key Included – Saves time and supports grading
• Standards-Based – Specifically crafted to align with HSF.BF.A.2

This worksheet provides everything needed to reinforce a critical Algebra 2 topic with clarity and flexibility. Download it today and bring targeted, standards-aligned instruction into your classroom.

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!