• Written By Shardul Kumar
  • Last Modified 16-10-2024

NCERT Solutions for Class 11 Maths Exercise 9.4 Sequences and Series

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NCERT Solutions for Class 11 Maths Exercise 9.4 Sequences and Series: This exercise discusses the sum of the ‘n’ terms of some special series, such as the sum of consecutive natural numbers, the sum of consecutive squares, or the sum of consecutive cubes of natural numbers. Also, questions related to Sequences and Series has application in our day-to-day life, for example, compiling and collating a large amount of data or lists.

Students must pay attention to formulas for special sequences in this exercise. Embibe’s subject matter experts have curated exercise 9.4 Class 11 Sequence and Series NCERT Solutions for. Apart from these solutions, Embibe has 100+ practice questions on this exercise covering major concepts. Students can practice questions and take mock tests for revision. Read on to learn more.

NCERT Solutions for Class 11 Maths Exercise 9.4: Important Topics

NCERT Solutions for Exercise 9.4 Class 11 Maths deals with Arithmetic Progression and Arithmetic Mean. Arithmetic Progression is a sequence of numbers with a constant difference between them. Meanwhile, the Arithmetic Mean is the average of the sequence. There are different methods and rules for solving questions of Exercise 9.4 Class 11 Maths.

The main topic discussed in this exercise is the sum of the ‘n’ terms of some of the special series. Students must understand this topic well to solve questions. They can understand these concepts in-depth with the help of these NCERT Solutions. Besides, Embibe offers around 11 explanatory videos, 100+ practice questions, two Embibe Explainers, and several solved examples on this exercise for to students. Now, let us look at the important topics from this exercise:

Sr. No.Topic Name
1.Sigma Notation for Sum of a Constant Upto n Times
2.Sum of First n Natural Numbers

NCERT Solutions for Class 11 Maths Exercise 9.4: Points to Remember

Some of the important points to remember from this chapter are as follows:

  • Arithmetic Mean for grouped data = C = (c+ c+ c+ … + cn)/n  (where n = number of terms)
  • If the number of observations occur more than once in the series, or in other words, have a frequency, then the corresponding Arithmetic Mean = C= (c1f1 + c2f2 + c3f+ … + cifi )/ (f1 + f2 + f3 + … + fn)
  • Terms of AP = a, a+d, a+2d,……, a+(n-1)d
  • Common Difference in AP = d = a– a1 = a3 – a2 = …… = an – an-1
  • nth term of the Arithmetic Progression = an = a + (n – 1) x d
  • Sum of n terms of Arithmetic Progression = Sn = n/2 [2a + (n – 1) x d]
  • Sum of Arithmetic Progression when the last term is given = S = n/2 (1st term + last term)

NCERT Solutions for Class 11 Maths: All Chapters

NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations:

FAQs on NCERT Solutions for Class 11 Maths Exercise 9.4

Some of the frequently asked questions on the NCERT Solutions for Class 11 Maths Exercise 9.4 are as follows:

Q: What is the best way to score good marks in Class 11 Exercise 9.4 Maths?

Ans: The section is based extensively on formulas; the best way to score good marks is to understand and know the formulas by heart. Additionally, solving several problems frequently is a great way to keep the memory fresh.

Q: Are Embibe’s NCERT Class 11 Maths Solutions for Exercise 9.4 helpful in exam preparation?

Ans: Embibe’s NCERT Class 11 Exercise 9.4 Maths Solutions cover a variety of solved questions. Practicing regularly can help students get a comprehensive understanding of the topic with ease.

Q: Where can I find NCERT Class 11 Exercise 9.4 Maths Solutions?

Ans: Students can find NCERT Solutions for all Class 11 Maths exercises at Embibe for.

Q: What are the topics of Chapter 9 of the NCERT Class 11 Maths?

Ans. The NCERT Class 11 Maths Chapter 9 covers topics related to Sequence and Series. The most important topics are Arithmetic and Geometric Progression and their relationship.

Q: Is Class 11 Maths Chapter 9 easy?

Ans: If students study with Embibe then this chapter may seem easy as it solely based on formulas.

We hope this detailed article on NCERT Solutions for Class 11 Maths Exercise 9.4 helps you prepare for the exams in the best way possible.

Adaptive Practice with Solutions To Help You Ace Important Topics for 11th NCERT