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# RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.2) Exercise 20.2

Last updated date: 24th Jul 2024
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## RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.2) Exercise 20.2 - Free PDF

The free PDF download of RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions Exercise 20.2 solved by Expert Mathematics Teachers is now available for students on Vedantu.com. All Chapter 20 - Geometric Progressions Ex 20.2 Questions with Solutions for RD Sharma Class 11 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

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## Why has Vedantu provided the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.2) Exercise 20.2 - Free PDF

The RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions Exercise 20.2 PDF is available for download on this page. This PDF was created by Vedantu to help you with your studies while also allowing you to spend less time on your studies, thereby increasing the time you have for other activities including revision of the subject. You can learn how to solve the Geometric Progressions questions in an easy, detailed manner by referring to this document on the solutions for Chapter 20, which will help you save time. For an increased understanding of the subject, you can check out the Geometric Progressions revision notes.

### Conclusion

By following the right method and practising regularly, students can solve chapter 20 of Geometric Progressions 20.2

## FAQs on RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.2) Exercise 20.2

1. What is Geometric Progressions?

Geometric Progressions is a form of mathematical pattern in a sequence of numbers or elements. In this particular kind of sequence, the numbers are obtained by multiplying the previous number by a constant, which is called the common ratio.

Let's take an example to understand this better.

In a sequence of (1, 3, 9, 27, 81), you can tell there's a pattern. The pattern here is that, beginning from the first number, all the subsequent numbers have been obtained by multiplying the preceding number by 3. So 1×3=3, 3×3=9, 9×3=27, etc. So in this case, the common ratio is 3, which is denoted as r = 3. For more such examples download free PDF from the Vedantu website.

2. What are some of the formulas related to Geometric Progressions?

There are three main formulas used to answer questions on Geometric Progressions. The first formula is to find the "nth" term in a series of elements. The second is to derive the common ratio of a series. The last one is for the geometric progression sum. These are listed below:

Nth term: The usual form of Geometric Progressions is a1, a1r, a1r², a1r³,.... a1rn-1, a1rn

We can represent each term as a1, a2, a3, etc.

a1 = a1

a2 = a1r

a3 = a2r = (a1r) r = a1r2

And so on.

Therefore, the nth term will be

an = a1rn-1

Common Ratio: To get the common ratio, you have to divide any number in the sequence by its preceding number.

r = a2/a1

Geometric Progression Sum

Sn = a1 (1-rn)/1-r

In this, r ≠ 1

3. What are the properties of Geometric Progressions?

There are seven main properties of Geometric Progressions. These are explained below:

• If any number in a Geometric Progression is multiplied or divided by the same quantity (non-zero quantity), it forms a new series of Geometric Progressions with the same common ratio.

• The reciprocals of the terms in a geometric progression also form a geometric progression.

• If all of the terms in a geometric progression are raised to the same power, then the new numbers also form a geometric progression.

• The product of the terms equidistant from the beginning and end of a geometric progression are the same. It is also equal to the product of the first and last term.

• b² = ac. This means that the non-zero quantities a, b, and c, are in a geometric progression only if b² = ac.

• If the terms of a geometric progression are selected at certain intervals, the new series obtained is also a geometric progression.

• The logarithm of each term in a geometric progression with non-zero, non-negative terms forms an arithmetic progression (and vice versa).

4. Is the RD Sharma Class 11 Solutions Chapter 20 - Geometric Progressions (Ex 20.2) Exercise 20.2 - PDF free to download?