Recursive Sequences Worksheet – Algebra 2 | CCSS Aligned

This Recursive Sequences Worksheet for Algebra 2 provides a complete, standards-aligned resource for mastering recursive rules in arithmetic and geometric sequences. Designed to reinforce understanding of recursive notation, modeling, and converting to explicit formulas, this worksheet supports the Common Core State Standard 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.”

This resource is perfect for classwork, independent practice, sub plans, intervention, or assessment review. All content is 100% editable, allowing teachers to customize problems to meet the unique needs of their students or pacing guides.

What’s Included:

Part A – Warm-Up and Vocabulary Review

• Definitions of 10 key terms: sequence, recursive rule, arithmetic sequence, geometric sequence, etc.
• 3 prerequisite review questions to activate prior knowledge

Part B – Writing Recursive Rules

• 10 problems where students identify and write recursive formulas from given sequences

Part C – Generating Terms from Recursive Rules

• 10 problems requiring students to extend sequences using a recursive formula

Part D – Modeling Real-World Scenarios

• 10 application-based prompts where students write recursive formulas for contextual situations

Part E – Translating Recursive to Explicit Formulas

• 10 recursive formulas that students must convert into explicit formulas

Part F – Mixed Practice and Critical Thinking

• 10 problems combining multiple skills: pattern recognition, modeling, and conversion between forms

Complete Answer Key Included

Key Features:

• Fully aligned with Common Core Standard HSF.BF.A.2
• 100% Editable – Customize for differentiated instruction or local standards
• Designed for approximately 90-120 minutes of instructional time
• Clear, structured layout with no examples or instructional content—ideal for independent work
• Suitable for high school Algebra 2, Pre-Calculus introduction, or advanced 8th/9th grade learners
• Use as classwork, homework, review, test prep, or for substitute plans

Suggested Uses:

• Algebra 2: Sequences and Series Unit
• Common Core Standard Review
• SAT/ACT Algebra Preparation
• Distance Learning and Digital Assignments
• Homeschool Math Curriculum

What Teachers Are Looking For:
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