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

## 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, ar^{2}, ar^{3}, and so on are the general type of a GP. Tn = ar^{n-1} is the n^{th} 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:

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.

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

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.

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.