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# NCERT Solutions for Class 11 Maths Chapter 9 Free PDF Download

## NCERT Solutions for Class 11 Maths Chapter 9 – Sequences and Series

NCERT Solutions for Class 11 Maths Chapter 9 will increase the level of understanding about sequences and series. and help the students to learn some new concepts about. It will also help students to easily score full marks from this chapter by solving all the questions. Our expert teachers have written these solutions in a very simple and interesting manner so that students can understand the concepts faster and remember for longer. Students will score better marks by using NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series.

NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series cover all the exercise questions included in the book and are following the latest guidelines of CBSE. Toppr app will help you to get complete NCERT Solutions. We are providing you the free pdf and download links of the NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series.

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### CBSE Class 11 Maths Chapter 9 – Sequences and Series

NCERT Solutions for Class 11 Maths Chapter 9 enables the students to understand the concepts of Sequence and Series. Also, the student will learn about Arithmetic Progression (A. P.) and Geometric Progression (G.P.).

The students will be able to measure their ability and improve their skills. We provide solutions in an easy and self-explanatory way. These NCERT Solutions will also help students to understand the basic and fundamental rules and procedures of finding general terms and sum of series. ### Sub-topics covered under NCERT Solutions for Class 11 Maths Chapter 9

• 9.1 Introduction
• 9.2 Sequences
• 9.3 Series
• 9.4 Arithmetic Progression (A.P.)
• 9.4.1 Arithmetic mean
• 9.5 Geometric Progression (G. P.)
• 9.5.1 General term of a G.P
• 9.5.2 Sum to n terms of a G.P
• 9.5.3 Geometric Mean (G.M.)
• 9.6 Relationship between A.M. and G.M.
• 9.7 Sum to n Terms of Special Series

### NCERT Solutions for Class 11 Maths Chapter 9

NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series will help the students to strengthen their basics and to boost their expertise level. These are a useful aid for the students in their assignments and competitive exams. It will definitely help the students to strengthen their foundation on Sequences and Series.

Let us discuss the sub-topics in detail.

9.1 Introduction

Sequences have important applications in several types of human activities. The student will also study the specific patterns which are the progression.

9.2 Sequences

The student will study different sequences like finite and infinite with examples.

9.3 Series

Series is a specific type of sequence and it may also be finite and infinite like.

9.4 Arithmetic Progression (A.P.)

It is a specific type of series in which two successive terms are having the same common difference onwards.

9.4.1 Arithmetic Mean

Take two numbers m and n. We can insert a number A between them so that m, A, n will be an A.P. Then the number A is called the arithmetic mean.

9.5 Geometric Progression (G. P.)

It is a specific type of series in which two successive terms are having the same common ratio onwards.

9.5.1 General term of a G.P

The student will find the pattern suggesting for the nth term of a G.P. It is the general term of it.

9.5.2. Sum to n terms of a G.P

In this topic, the student will learn the method to find the sum of first n terms of a GP. Also, the formula will help them.

9.5.3 Geometric Mean (G.M.)

The geometric mean of two positive numbers a and b is the number square root of a*b.

9.6 Relationship between A.M. and G.M.

In this type of relationship between AM and GM will help the student to find anyone of them if another one is given.

9.7 Sum to n Terms of Special Series

The student will study some special series like natural numbers, square of natural numbers, the cube of natural numbers, etc. ### Download Toppr – Best Learning App for Class 5 to 12

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