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RD Sharma Class 11 Maths Solutions Chapter 20 - Geometric Progressions

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Last updated date: 23rd Apr 2024
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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.


Competitive Exams after 12th Science

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

  • Cultivate confidence and a healthy outlook to prevent being overwhelmed by stress and family and friends' demands. As a healthy attitude creates trust and positivity, it is important to keep calm and retain a healthy attitude.

  • 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. What is the GP formula?

Geometric progression refers to a series of non-zero numbers where each term of the series after the first term of the series is calculated by multiplying the previous term of the series by a fixed, non-zero number which is known as the common ratio. a, ar, ar2, ar3, and so on are the general type of a GP. Tn = arn-1 is the nth term in the GP sequence, where a = first term and r = general ratio = Tn-Tn-1). The sum of infinite terms of the S= a/(1-r) GP sequence, where 0< r<1. If a is the first term, r is a finite G.P. common ratio.

2. What is the definition of geometric progression?

In mathematics, geometric progression, also known as a geometric series, is a sequence of non-zero numbers where each term after the first is calculated by multiplying the previous one by a fixed, non-zero number called the common ratio. In simpler words, in a geometric progression, every term of the series bears a constant ratio to its preceding term. Therefore, to identify the terms of a geometric series, we only require the first term of the series and the constant ratio.


3. What's the sum of the infinite GP?

A geometric progression that contains infinite number of terms in its series can have two types of common ratios depending on the value of r, that is, if |r| < 1, and if |r| > 1. Therefore, the infinite geometric series that have a common ratio |r| < 1 has a sum equal to S = a/(1 - r). If you substitute rn with 0 in the overview formula, the 1-rn component will only be 1, and the numerator will only be a1. The formula for the number of an infinite geometric sequence is S=a1/ (1-r ).

4. What are the Properties of Geometric Progression?

There are certain properties that a Geometric progression follows are:

  1. When the elements of a geometric progression are multiplied or divided by a fixed non-zero number, then the resulting sequence is also a geometric progression and has the same common ratio.

  2. When all the terms of a geometric progression are reversed, then the reversed values also form a geometric progression.

  3. When all the terms present in a geometric series are raised to a power of a specific number, then the series formed due to the mathematical operation also refers to a geometric progression.

  4. For any three non-zero terms to behave like a geometric progression they need to fill the following criteria: y² = xz where x, y, and z are in a geometric progression.

5. What will be the benefits of referring to RD Sharma Solutions of Class 11 Chapter 20, Geometric Progressions?

Chapter 20 of class 11, that is, geometric progressions is a very essential chapter and thus must be taken seriously by the students. The main benefits of studying chapter 20 from RD Sharma Solutions are:

  • Students will be able to prepare in a much better manner for their exams as the explanation to each question is provided by our Vedantu team keeping the calibre and learning ability of students in mind.

  • Students will be able to clear all their doubts related to the chapter through our detailed explanations.

  • The solutions PDF file will guide the students in solving the answers correctly.

  • Solutions will teach students how to face difficult questions.

  • It will boost their confidence during the examination.