FREE SAMPLE -Arithmetic Sequences & Infinite Geometric Series
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About This Resource
The **Free Sequences & Series Visual Notes Sampler** is a ready-to-use **7-page preview for Grades 10–12** that introduces Algebra 2 and Precalculus students to two important topics: **arithmetic sequences and infinite geometric series**.
Students practice identifying the **common difference**, writing and evaluating **explicit arithmetic-sequence formulas**, determining whether an infinite geometric series converges, and calculating its sum. The visual guided notes and worked examples provide a structured introduction before students apply the concepts in the included practice drill.
Product description
Overview: Give your students a clear, visual understanding of sequences and series with this FREE SAMPLE of my premium complete unit! Designed specifically for Algebra 2 and Precalculus, this resource features visual guided notes with step-by-step algebraic working, perfectly structured to help high schoolers grasp complex recursive and explicit formulas.
If you love the clarity and design of this free sample, be sure to check out the Complete Sequences, Series & Sigma Notation Unit for 5 full topics, 100+ practice problems, applications, and a complete unit test!
What’s Included in this FREEBIE (7 Pages):
Arithmetic Sequences Visual Notes (1 Page): Identifying the common difference, the explicit formula (aₙ = a₁ + (n-1)d), and a fully worked step-by-step example. Infinite Geometric Series Visual Notes (1 Page): Understanding the convergence condition (|r| < 1), the infinite sum formula (S = a₁ / (1 - r)), and a fully worked example. Mini Practice Drill (1 Page): 8 targeted problems (4 Arithmetic Sequences, 4 Infinite Geometric Series) to check for understanding. Title & Information Pages: Overview of the free sample with a direct link to the full comprehensive unit. Skills Covered in this Sample:
Finding the common difference of an arithmetic sequence Writing and evaluating explicit formulas for arithmetic sequences Determining if an infinite geometric series converges or diverges Evaluating the sum of an infinite geometric series How to Use:
Use the visual guided notes as a whole-class direct instruction tool. Assign the mini drill as an exit ticket, homework, or independent practice. Use as a review packet before a cumulative exam. Grade Suitability: Grades 10–12 (Aligned to Algebra 2 and Precalculus curricula).
Frequently Asked Questions
What's included in this resource?
This free resource contains 6 pages of ready-to-print materials. It is visual supports.
Is this resource really free?
Yes, this resource is completely free to download. You can access it instantly on Teachers Pay Teachers. It's a sample of our premium resources, designed to give you a taste of the quality you can expect from UM Printables.
What format is this resource in?
This resource is a printable PDF. After downloading from TPT, you can print the pages directly or use them digitally with a document camera or interactive whiteboard.
