RD Sharma Class 11 Maths Solutions Chapter 21 - Some Special Series

Q: 3. How can we determine nth term of an arithmetic sequence?

Given an arithmetic sequence with the first term a1 and the common difference d, then the nth (or general) term is determined by an=a1+(n-1)d

RD Sharma Solutions

RD Sharma Class 11 Maths Solut...

RD Sharma Solutions for Class 11 Maths Chapter 21 - Free PDF Download

RD Sharma Class 11 Some Special Series, cover the sums of the first ‘n’ natural numbers, squares of first ‘n’ natural numbers, and cubes of the first ‘n’ natural numbers. Students can refer to the RD Sharma Solutions For Class 11 Maths Chapter 21 PDF to get a clear idea of the concept of the special series. The solutions are prepared by our expert faculty team in a comprehensive manner to make it interesting for students to solve. These Solutions are available in PDF format on Vedantu and can be downloaded for free of cost.

Concepts covered in this chapter are the sum to ‘n’ terms of some other special series viz. series of natural numbers, series of the square of natural numbers, series of cubes of natural numbers, etc. RD Sharma Solutions are designed for CBSE students, according to the latest syllabus prescribed by the CBSE Board. Our expert teacher has designed these solutions in an easily understandable language. To practice is an essential task to learn and score well in Mathematics. The pdfs of RD Sharma Solutions For Class 11 Maths Chapter 21 are provided here. Students are advised to go through RD Sharma Solutions thoroughly before the final exams to score well in the exam.

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RD Sharma Class 11 Solutions Chapter 21 part-1

Class 11 RD Sharma Textbook Solutions Chapter 21 - Some Special Series

Important topics in RD Sharma Class 11 Maths Chapter 21 Solutions

The sum up to ‘n’ terms of some other special series is the main concept explained in this chapter. RD Sharma Solutions are designed for the students as per the latest syllabus and guidelines provided by CBSE. Method of difference and summation of some special series are the other topics which are also covered here. Students are advised to thoroughly solve the textbook problems before the final exams and increase their abilities to solve complex problems.

Following Are the Concepts Discussed in This Chapter.

Sum up to ‘n’ terms of some special series.

How to first sum ‘n’ natural numbers.
How to find the sum of the squares of first ‘n’ natural numbers.
How to find the sum of the cubes of first ‘n’ natural numbers.

Method of difference.
Summation of some special series.

Exercises in RD Sharma Solutions For Class 11 Maths Chapter 21

Why Should Students Refer to RD Sharma Maths Solution Class 11 Chapter 21-Some Special Series?

There are various advantages provided by RD Sharma-

Students can practice different types of questions of various difficulty level from a single book.
In case students face any doubt while solving problems, they can immediately refer to the RD Sharma Maths Solution, so as to clear all their difficulties.
These solutions are given by our expert team, where we have included different ways of answering the question. Students can refer to the different kinds of solutions, students can get to understand the different ways of answering questions and arrange a suitable way which they find easy.
Solving the solution also benefits the students to help them in the learning process in an easy way.

Conclusion

All the exercise questions are covered in the RD Sharma Class 11 Maths Chapter 21 Solutions. It helps students to revise the complete chapter and score good marks in the exams. Solutions prepared by Vedantu experts help students to understand the concepts in an easier way. Students get to know all the concepts in detail as the solutions provided by us are easy and reliable. RD Sharma Maths Solutions for Class 11 Chapter 21 Some Special Series help students learn how to solve the various sums covered in this chapter, in a step-by-step manner.

FAQs (Frequently Asked Questions)

1. What is the formula for the sum of the square of first N natural numbers?

The sum of the square of the first N natural number can be calculated using the following formula-

( n(n+1)(2n+1) /6)

2. What is an AGP series?

The Arithmetic-Geometric Progression (AGP) is a sequence of which each term can be expressed as the product of an arithmetic progression and a geometric progression. The general form of an AGP is-

a, (a+d)r, (a+2d)r², (a+3d)r³, (a+4d)r⁴, ……….. (a+(n-1)d)r^n-1

Here, ‘a’ is the first term, ‘d’ is a common difference and ‘r’ is the common ratio.

3. How can we determine nth term of an arithmetic sequence?

Given an arithmetic sequence with the first term a₁ and the common difference d, then the n^th (or general) term is determined by an=a₁+(n-1)d

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