General Mathematics Grade 11 | Arithmetic Series | Sum of Terms, Formula & Word Problems
Welcome to *Video 3* of our *Grade 11 General Mathematics* series!
In this lesson, we will study **Arithmetic Series**—the sum of the terms of an arithmetic sequence. You will learn how to distinguish an arithmetic series from an arithmetic sequence, use the arithmetic series formulas, solve for the sum of the first n terms, and apply these concepts to real-life situations through worked examples and word problems.
This tutorial is designed to help Grade 11 students understand the lesson step by step, making it easier to prepare for quizzes, examinations, and classroom activities.
📚 *Topics Covered*
✔ What is an Arithmetic Series?
✔ Difference between a Sequence and a Series
✔ Sum of the First n Terms
✔ Arithmetic Series Formulas
✔ Solved Examples
✔ Word Problems
✔ Real-Life Applications
📖 *Formulas Covered*
*Sₙ = n/2 [2a₁ + (n − 1)d]*
and
*Sₙ = n/2 (a₁ + aₙ)*
where:
Sₙ = sum of the first n terms
a₁ = first term
aₙ = nth term
d = common difference
n = number of terms
🎯 *Learning Competency*
Solve problems involving arithmetic sequences and arithmetic series.
👨🏫 *This lesson is recommended for:*
• Grade 11 students
• Senior High School learners
• STEM, ABM, HUMSS, and GAS students
• Teachers
• Anyone reviewing General Mathematics
📺 *General Mathematics Series*
✅ Video 1 – Describing Patterns by Inspection
✅ Video 2 – Arithmetic Sequences
▶ Video 3 – Arithmetic Series
⏳ Video 4 – Geometric Sequences
⏳ Video 5 – Geometric Series
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