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RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5

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Last updated date: 21st Apr 2024
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RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF

Free PDF download of RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions Exercise 20.5 solved by Expert Mathematics Teachers on Vedantu. All Chapter 20 - Geometric Progressions Ex 20.5 Questions with Solutions for RD Sharma Class 11 Math to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering entrance exams.

 

We'll go over several key properties of geometric progressions and geometric series in this section. Experts have solved the issues for each exercise using basic approaches to assist students improve their problem-solving accuracy. The solutions are described with a few examples to help students understand the principles and increase their confidence. Students who want to do well in their board exams can look over the RD Sharma Class 11 Math Solutions PDF, which can be simply downloaded from the links below.


Exercise 20.5, Chapter 20-Geometric development from Class 11th RD Sharma is solved by Vedantu Maths master tutors who are highly skilled. They've put together this solution kit for students like you who want to practise solving problems the right way. Not only that, but you'll improve your accuracy and quickness when answering questions. It also increases your analytical skills, which will assist you to improve the portions where you need more practice. Exercise 20.5 solutions are available in PDF format for free download on this website. You'll find solutions that are thoroughly explained with examples so that you can grasp them. If you're having trouble answering questions other than those in Chapter 20-Geometric progression, Exercise 20.5, you can look up the answers in other chapters/exercises.


Get a free preview of Chapter 20 Geometric Progression Class 11 additional questions from the Class 11 Mathematics Textbook on Vedantu.com and use it to study for your exams.

Competitive Exams after 12th Science

Exercise 20.5 RD Sharma Class 11 Chapter 20

Twenty pupils will benefit from the in-depth explanations in the RD Sharma Exercise 20.5 Class 11 Chapter. The properties of geometric progressions and geometric series are the major topics on which students should concentrate. Students will be able to grasp the fundamental principles of Geometric Progressions if they pay close attention to each component of Chapter 20.5 RD Sharma Solutions.


RD Sharma Solutions for Class 11 Math Chapter 20

In the RD Sharma Chapter 20 solutions, the professionals have come up with a variety of solutions. Some students struggle when attempting difficult questions from Geometric Progressions, which is why the professionals have offered the appropriate resources. 


When students look over the material of Solutions Chapter 20, they will be able to better prepare themselves.


The pupils will be able to overcome all of the obstacles in Geometric Progressions.


All of the components that belong under RD Sharma Geometric Progressions have been thoroughly explained with appropriate visuals, and if you carefully analyze the material, you will have no questions.


The beauty of following solutions is that you will receive fresh ideas for improving your preparation procedures. Chapter 20 of CBSE Class 11


Example: 1 Prove that log a, log b, and log c are in A.P. if a, b, and c are in G.P.

Solution:

It is given that a, b and c are in G.P.

b2 = ac {using property of geometric mean}

(b2)n = (ac)n

b2n = an cn

Now, apply log on both the sides we get,

log b2n = log (ancn)

log (bn)2 = log an + log cn

2 log bn = log an + log cn

∴ log an, log bn, log cn are in A.P


Example: 2 Prove that 1/loga m, 1/logb m, and 1/logic m are in A.P. if a, b, and c are in G.P.

Solution:

Given:

a, b and c are in GP

b2 = ac {property of geometric mean}

Apply log on both sides with base m

logm b2 = logm ac

logm b2 = logm a + logm c {using property of log}

2logm b = logm a + logm c

2/logb m = 1/loga m + 1/logc m

∴ 1/loga m , 1/logb m, 1/logc m are in A.P.

FAQs on RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5

1. Is the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF helpful?

Yes, the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF from Vedantu is very beneficial. It can help Class 11th students to learn the chapter geometric progression at an advanced level. If you want to challenge yourself and practice the Mathematical chapter geometric progression’s equations then opt for RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF from Vedantu.

2. Is the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF easy to understand?

Students who download the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF from Vedantu can find the concepts in the book easy. If you practise the equations regularly and focus on timely studies, you will be able to score good marks in Class 11th. Learn the concepts given in Class 11th‘s Mathematics clearly and start practicing the problem equations on a regular basis.

3.Does the RD Sharma Class 11 Solutions - Free PDF help in entrance examinations?

Yes, the RD Sharma book for Class 11th and 12th can help students to clear the entrance examinations. The entrance examinations are conducted at a national level like JEE, NEET, etc And need constant study. If you want to become an engineer or a doctor you should know the subjects of medical and non-medical fields at an advanced level. These guidebooks can only guide you with the same. Download the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF from Vedantu to explore.

4. Is the chapter Geometric Progressions difficult?

Students can experience that Class 11th is more difficult than Class 10th. It is due to the complex topics and concepts. When you are thorough with the NCERT book, opt for RD Sharma to solve more complex equations. The chapter geometric progression can seem difficult for those who do not understand the concept. We conduct online coaching Classes and can help you in understanding the chapter. We cover Class 11th and 12th‘s syllabus to train students for entrance examinations.

5. Is Geometric Progression also included in Class 12th?

No, geometric progressions are not included in Class 12th. This does not mean that you are not supposed to study them. Entrance examinations can encounter questions from geometric progression. Download and get the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.5) Exercise 20.5 - Free PDF from Vedantu now. It has all the solutions in an easy to read and understandable manner. The steps involved in problem-solving are beneficial for those who cannot understand complex equations.