RD Sharma Class 11 Chapter 20 Solutions (Geometric Progressions)
RD Sharma Solutions for Class 11 Maths Chapter 20 ‘Geometric Progressions’ have been prepared to help you in CBSE Class 11 exams. These RD Sharma Solutions will make it easier for you to understand the questions related to geometric progressions given in 146 questions divided into 6 exercises. We have also provided solutions for the additional exercise of the chapter that includes 20 VSAQ (very-short-answer-type-questions).
There is always a probability of 10-12 mark questions coming from this chapter in the CBSE exam. Not only this, if you are a student of other state boards of India such as ICSE, AP or UP Board, Chapter 20 of RD Sharma Book of Class 11 is an important topic for you. Also, this topic is crucial for competitive exams like IIT JEE.
RD Sharma Class 11 Maths Solutions for Chapter 20 will teach you all about Geometric Progressions, their main properties, the applications of properties of Arithmetic and Geometric progression and some general terms of G.P. RD Sharma solutions for Class 11 Maths Chapter 20 by Instasolv are very helpful as they provide the complete knowledge of every single concept. Now you will be able to attempt all the questions in the exam irrespective of their difficulty level.
Topics covered in RD Sharma Solutions for Class 11 Chapter 20 – Geometric Progressions
- Geometric Progressions: GP is a number sequence that differs from one another in a ratio having a common difference.
For example 3, 9, 27, 81 and so on. There is a common geometric sequence that differs with a common ratio of 3.
- Initial term: The first number is called an Initial term in GP.
- Common Ratio. any ratio between a term before and in between its sequence.
In this chapter, we shall learn about the recursive formula, explicit formula
- Sum of GP: A common theorem is applied to find out the sum of GP
With the initial term ‘a’ and common ratio ‘r’
- Sums of infinite GP: in the above theorem, we find the sum of only finite terms, but now we will learn to find the sums of infinite terms:
with the initial term ‘a’ and common ratio ‘r’; Providing r<1
Properties of geometric progression
- Some practical problems relating to arithmetic and GP
- Practical problems using properties of both arithmetic progression and geometric progression.
Discussion on the Exercises of RD Sharma Solutions for Class 11 Chapter 20 geometric progression
In the first exercise 20.1, the questions are related to the general term of GP, in which the selection of terms of GP, some of the terms are asked. There are many questions related to this to improve the quick application of formulas. With the use of a formula, the common ratio is to be found.
Another very common set of questions is related to finding the missing term. This set of questions is asked for 2-3 marks questions in every examination.
In the second exercise 20.2, the sum and product of certain terms are given, asking you to find G.P, some mixed questions are there to find AP by giving the GP and its terms.
For such questions, you need to have a proper knowledge about arithmetic progression, its formulas.
In the 20.3 exercise, statement type questions related to common ratio were asked. There are 40 questions in this exercise.
20.4 exercise includes the questions related to the application of the sum of infinite geometric progression formulas. Proper knowledge of the formula is required. This exercise involves lengthy type questions and is time-consuming with lots of calculations using quadratic equations.
Good knowledge of rational numbers is also required as certain questions are related. For example: finding the rational number having the given decimal expansions. There are a total of 20 questions which include the mixture of AP, GP, Rational number and sum of infinite numbers.
In the exercise 20.5, a combination of certain algebraic formulas are given with reference to GP and it is asked to prove the formula concerning that question For example: if a, b, c, are in GP, prove that given algebraic formula is also in GP. These types of questions involve step by step procedures and are lengthy and time-consuming in nature. There are 34 questions in this exercise
20.6 exercise includes 13 questions in total. In the last exercise 20VSAQ, there are frequently asked questions, helping to have an edge over such lengthy questions in less time.
Benefits of RD Sharma Solutions for Class 11 chapter 20 set by InstaSolv
RD Sharma Class 11 Maths Solutions Chapter 20 have been purposely designed in such a manner that you can score high in your board exams. For the understanding of the core concepts in a short period, you can refer to these solutions. Instasolv helps you improve your understanding of AP and GP related questions with the provision of the best solutions at no cost. You can find all the solutions online for RD Sharma Class 11 Maths Solutions Chapter 20. Instasolv solutions are the best guide for the mathematics lovers.