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RD Sharma Solutions

RD Sharma Class 11 Maths Solutions Chapter 20 - Geometric Progressions

RD Sharma Class 11 Maths Solutions Chapter 20 - Geometric Progressions

Q: 4. How do I decide whether to use the formula for the sum of a finite GP or an infinite GP for a word problem in Chapter 20?

The choice depends entirely on the context of the problem.Use the formula for the sum of a finite GP, Sₙ = a(rⁿ-1)/(r-1), when the problem specifies a definite number of terms (e.g., 'sum of the first 8 terms', 'total distance covered in 5 bounces').Use the formula for the sum of an infinite GP, S∞ = a/(1-r), only when the series continues indefinitely and the absolute value of the common ratio |r| is less than 1. This is common in problems about total distance travelled by a bouncing ball 'until it stops' or recurring decimals.

RD Sharma Solutions for Class 11 Maths Chapter 20 - Free PDF Download

RD Sharma Solutions For Class 11 Maths Chapter 20 PDF are made by the best subject matter experts at Vedantu so that you can easily study the chapter. Many teachers strongly recommend RD Sharma Class 11 Chapter 20 Solutions for Maths subjects as it contains enough questions for practice. However, in answering these problems, you might need assistance at some moments. This is where you can get help with our solutions.

The solutions for Class 11 Maths RD Sharma Chapter 20 Geometric Progressions are given with step-by-step descriptions highly recommended for quickly completing the homework and preparing for examinations. You can find the solutions of other chapters in Class 11 Maths RD Sharma textbook at Vedantu.

Class 11 RD Sharma Textbook Solutions Chapter 20 - Geometric Progressions

Important Topics in RD Sharma Class 11 Chapter 20 Solutions

RD Sharma Solutions For Class 11 Maths Chapter 20 has around 6 exercises. All the questions in RD Sharma Class 11 Chapter 20 Solutions are based on the latest CBSE exam pattern as well as other competitive exam patterns like JEE, NEET, etc. RD Sharma Class 11 Maths Geometric Progressions covers different topics like geometrical progression, the nth term from the end of GP, problems on geometrical progression, word problems on GP, geometric mean, Infinite geometric series, etc.

Topics covered in RD Sharma Solutions for Class 11 chapter 20 - Geometric Progressions

RD Sharma Class 11 Maths Geometric Progressions covers different topics as follows:

Introduction to geometric progressions (GP)
First term and the nth term from of GP
Common Ratio (r) in Geometric progressions
Geometric mean
Infinite Geometric series

Exercises in RD Sharma Class 11 Chapter 20 Solutions

You can find all the 6 Exercises in this chapter with Questions and detailed solutions in a PDF below:

Detailed exercise-wise explanation of RD Sharma Class 11 Chapter 20, Geometric Progressions

RD Sharma Class 11 Chapter 20 - Geometric progressions contains a total of six exercises.

In the RD Sharma Maths Class 11 Chapter 20, exercise 20.1 contains questions that will enable students to learn the basics of geometric progression along with the terms associated with it.
In exercise 20.2 of class 11 RD Sharma Chapter 20 focuses on the objective type questions related to the terminology used in geometric progression.
Exercise 20.3 of chapter 20 of class 11 RD Sharma contains questions that will allow students to deal with problems related to a geometric progression. The question in this section of the book contains questions related to the sum of the terms of a geometric progression.
Exercise 20.4 of chapter 20 of class 11 RD Sharma deals with important concepts which are associated with Geometric Progressions.
Exercise 20.5 of class 11 chapter 20 of RD Sharma draws the attention of the students to topics like properties of geometric progression and geometric series.
The last exercise of chapter 20 of RD Sharma checks the progress and performance of the student by making them practice objective-type questions related to geometric progressions.

Preparation Tips

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Health is the corollary of adequate sleep, a predictable routine, sufficient physical exercise, and healthy feeding. Get up early and go to bed early. Start out the day with exercises and a nutritious breakfast that will improve your vitality and help you stay busy during the day.

Conclusion

RD Sharma Solutions For Class 11 Maths Chapter 20 are prepared to support you in the Class 11 CBSE exams. These RD Sharma Class 11 Chapter 20 Solutions will make it easier for you to understand the geometric progression questions that are given in 146 questions divided into 6 exercises. RD Sharma Class 11 Maths Geometric Progressions will tell you more about Geometric Progressions, their core features, Arithmetic, and Geometric Progression property uses, and other general G.P. terminology. RD Sharma Class 11 Solutions Chapter 20 are very useful as they have full knowledge of any single definition.RD Sharma Class 11 Solutions Chapter 20 covers questions at various stages of difficulty, from basic questions to intermediate questions, where all the relevant questions are known to learners.

FAQs on RD Sharma Class 11 Maths Solutions Chapter 20 - Geometric Progressions

1. Why should I use Vedantu's RD Sharma Class 11 Maths solutions for Chapter 20 on Geometric Progressions?

Vedantu's RD Sharma Solutions for Class 11 Maths Chapter 20 are prepared by subject matter experts to provide a reliable, step-by-step guide for every problem. These solutions help you understand the correct methodology as per the CBSE 2025-26 guidelines, master complex concepts, and build a strong foundation for both board exams and competitive entrance tests.

2. What is the correct method to solve problems on finding the nth term of a GP in RD Sharma Chapter 20?

To find the nth term of a Geometric Progression (GP) using RD Sharma solutions, follow this method:

Step 1: Identify the given values from the problem, which are usually the first term (a), the common ratio (r), and the term number (n).
Step 2: Use the standard formula for the nth term of a GP, which is Tₙ = arⁿ⁻¹.
Step 3: Substitute the identified values of 'a', 'r', and 'n' into the formula.
Step 4: Carefully perform the calculations to find the value of the nth term. Our solutions show each calculation clearly to avoid errors.

3. How are the properties of a GP applied to simplify complex questions in RD Sharma Solutions for Chapter 20?

The properties of a Geometric Progression are crucial for solving complex problems efficiently. For instance:

If you need to find the product of terms, the property that the product of terms equidistant from the beginning and the end is constant (a₁aₙ = a₂aₙ₋₁ and so on) can simplify calculations.
If a problem involves three consecutive terms, assuming them as a/r, a, ar makes solving for them much easier as the product simplifies to a³.
If each term of a GP is raised to the same power, the resulting sequence is also a GP. This is useful in problems involving squares or cubes of GP terms.

4. How do I decide whether to use the formula for the sum of a finite GP or an infinite GP for a word problem in Chapter 20?

The choice depends entirely on the context of the problem.

Use the formula for the sum of a finite GP, Sₙ = a(rⁿ-1)/(r-1), when the problem specifies a definite number of terms (e.g., 'sum of the first 8 terms', 'total distance covered in 5 bounces').
Use the formula for the sum of an infinite GP, S∞ = a/(1-r), only when the series continues indefinitely and the absolute value of the common ratio |r| is less than 1. This is common in problems about total distance travelled by a bouncing ball 'until it stops' or recurring decimals.

5. How do the questions in RD Sharma Class 11 Chapter 20 enhance preparation beyond the NCERT textbook?

While NCERT provides the fundamental concepts, RD Sharma for Chapter 20 offers a much wider range and a higher difficulty level of problems. It includes:

A larger volume of practice questions for each concept.
Higher Order Thinking Skills (HOTS) questions that test deep conceptual understanding.
Multi-concept problems that combine GP with other topics.

Solving these helps build speed, accuracy, and confidence for tackling challenging questions in school exams and competitive tests like JEE.

6. What are some common mistakes to avoid when solving problems involving Geometric Mean (GM) in RD Sharma Class 11?

When solving for the Geometric Mean (GM) in Chapter 20, students often make these mistakes:

Confusing GM with AM: The most common error is using the formula for Arithmetic Mean (a+b)/2 instead of the Geometric Mean, which is √(ab) for two positive numbers.
Sign Errors: Forgetting that if a and b are negative, their GM is -√(ab).
Insertion of GMs: When inserting 'n' GMs between two numbers 'a' and 'b', students may miscalculate the common ratio 'r' of the resulting GP. The correct formula is r = (b/a)^(1/(n+1)).

Vedantu's solutions highlight these potential pitfalls to ensure you learn the correct application.

7. Are the solutions for every exercise in RD Sharma Class 11 Chapter 20 covered?

Yes, our RD Sharma Class 11 Maths Solutions provide detailed, step-by-step answers for all the exercises in Chapter 20, Geometric Progressions. This includes introductory exercises on finding terms and common ratios, problems on the sum of a GP, questions on Geometric Mean, and miscellaneous exercises covering mixed concepts, ensuring comprehensive preparation for the entire chapter.