FREE SAMPLE -Arithmetic Sequences & Infinite Geometric Series
Free printable — instant download, no account required.
Quick overview
## 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 a premium complete unit! Designed specifically for **Algebra 2 and Precalculus**, this resource features visual guided notes with step-by-step algebraic working, structured to help high school students grasp 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 and 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 Practice Drill** as an exit ticket, homework, or independent practice.
Use the sample as a **review packet before a cumulative exam**.
### 🎓 GRADE SUITABILITY
Grades **10–12**, aligned to Algebra 2 and Precalculus curricula.
Frequently Asked Questions
How many pages are included in this free sample?
This free sample includes **7 pages**.
What topics are covered?
The sample covers **Arithmetic Sequences** and **Infinite Geometric Series**.
What formula is included for arithmetic sequences?
Students work with the explicit formula **aₙ = a₁ + (n−1)d**.
When does an infinite geometric series converge?
The sample teaches the convergence condition **|r| < 1** and the infinite sum formula **S = a₁ / (1 − r)**.
How many practice problems are included?
The Mini Practice Drill contains **8 problems**: 4 on Arithmetic Sequences and 4 on Infinite Geometric Series.
Are worked examples included?
Yes. Both Visual Notes pages include **fully worked step-by-step examples**.
What grades is this sample designed for?
It is designed for **Grades 10–12**, aligned to Algebra 2 and Precalculus curricula.
What is included in the full unit?
The description states that the complete unit includes **5 full topics, 100+ practice problems, applications, and a complete unit test**.
