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Lesson

Common Ratio

A Geometric Progression (GP) is a sequence of numbers in which each term after the first is obtained by multiplying the previous term by a constant number called the common ratio (r). For example, in the sequence 3, 6, 12, 24…, each term is double the previous one, so r = 2. The structure of a GP models situations involving repeated multiplication, such as population growth, compound interest, and exponential change.

35min lesson

Objectives3 goals Lesson12 blocks Review14 assets Practice32 items

Learning objectives

What to understand

3 goals

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Understand common ratio in the Geometric Progression chapter.
Connect the idea with formulas, examples, and exam-style questions.
Use flashcards, notes, MCQs, and LAQs to check readiness.

Lesson

Step-by-step lesson

12 sections

Concept

Meaning of a Geometric Progression

A sequence where each term is obtained by multiplying the previous term by a fixed ratio. 💡 Exam Tip: Identify a and r first. For the sum formula, choose the form that avoids sign mistakes: use a(rⁿ − 1)/(r − 1) when r > 1 and a(1 − rⁿ)/(1 − r) when 0 < r < 1. ⚠️ Common Mistake: Students often subtract consecutive terms like an AP instead of dividing to find the common ratio. 📌 Trigger: GP means ratio

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12 lesson sections7 cards / 7 notes18 MCQs / 14 written questions

Lesson Notes Flashcards Revision MCQs Written answers Topic test

Notes

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7 notes

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1
Understanding Geometric Progression and Its Structure
2
General Term (nth Term) of a G.P.
3
Sum to Infinity of a G.P.
4
Geometric Mean (G.M.) and Its Importance

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32 prompts

18 MCQs14 LAQsMixed test

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Geometric Progression

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Common Ratio

What to understand

Step-by-step lesson

Meaning of a Geometric Progression

Meaning of a Geometric Progression example

Common Ratio (r)

Common Ratio (r) example

nth Term Formula (Tn)

nth Term Formula (Tn) example

Sum of First n Terms (Sn)

Sum of First n Terms (Sn) example

Understanding Geometric Progression and Its Structure

General Term (nth Term) of a G.P.

Sum to Infinity of a G.P.

Geometric Mean (G.M.) and Its Importance

Meaning of a Geometric Progression

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Note highlights

Understanding Geometric Progression and Its Structure

General Term (nth Term) of a G.P.

Sum to Infinity of a G.P.

Geometric Mean (G.M.) and Its Importance

Check this topic

Geometric Progression

Mark this topic complete

Around this topic

Common Ratio

What to understand

Step-by-step lesson

Meaning of a Geometric Progression

Meaning of a Geometric Progression example

Common Ratio (r)

Common Ratio (r) example

nth Term Formula (Tn)

nth Term Formula (Tn) example

Sum of First n Terms (Sn)

Sum of First n Terms (Sn) example

Understanding Geometric Progression and Its Structure

General Term (nth Term) of a G.P.

Sum to Infinity of a G.P.

Geometric Mean (G.M.) and Its Importance

Meaning of a Geometric Progression

Choose your next activity

Note highlights

Understanding Geometric Progression and Its Structure

General Term (nth Term) of a G.P.

Sum to Infinity of a G.P.

Geometric Mean (G.M.) and Its Importance

Check this topic

Geometric Progression

Mark this topic complete

Around this topic