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NCERT notes for Class 11 Maths chapter 9 is basically based on sequence and series. In sequence and series Class 11 notes include different formulas and derivations of the formulas. The NCERT Class 11 Maths chapter 9 notes are entirely based on the useful topics of the series and sequence. Class 11 Math chapter 9 notes are detailed and compact.
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A Class 11 Maths chapter 9 note helps a student to revise before the exam. Notes for Class 11 Maths chapter 9 contains Arithmetic progression, geometric progression, arithmetic mean, geometric mean and the relation between the arithmetic mean and geometric mean. NCERT Notes for Class 11 Maths chapter 9 not only covers the NCERT and CBSE Class 11 Maths chapter 9 notes it also helps to prepare for different competitive exams.
After going through Class 11 Sequence and Series notes
Students can also refer to,
Sequence
The general definition goes by arranging something in a particular order.
Generally, we write the terms of a sequence by, etc., the subscripts define the position of the term. The nth term defines the nth position of the sequence.
From the above sentences, we can say a function whose domain is the set of natural numbers or a subset of it can be defined as a sequence. A functional notation can be used for is a(n)
Series
Let , be a given sequence. Then, the expression
is known as a series
The sum of the following series is denoted by ∑a_n is a(n)
Let the sequence be
Example:
If the 1,5,9,13… sequence is an A.P, what will be the nth term in the sequence?
Solution:
Given, sequence 1,5,9,13 . . . . . . .
Difference between the numbers, d =
The nth term will be,
Arithmetic Mean
If the two given numbers are p and q. Insert the number F between p and q so that p,F,q are in arithmetic progression. If F be arithmetic mean of p and q numbers. Then we will have,
Let us consider the following sequences:
2, 4, 8, 16, .…..
1/9, -1/27, 1/81, -1/243, ......
Let the sequence be called a GP when the difference in the ratio between
General Term Of A G.P
Geometric Mean (G.M.)
The formula for GM is
G=√ab
Relationship Between A.M. and G.M
A=(a+b)/2 and G=√ab
The relation is A≥G
The solution of this chapter can be directly solved by applying the formulas given above.
Class 11 Sequence and series notes cover all important topics of the chapter. Class 11 CBSE Maths Syllabus is similar to Class 11 Math chapter 9 notes. So, it will help students to get a detailed and compact knowledge of the chapter. Students will get the hard copy in the Class 11 Maths chapter 9 notes pdf download.
NCERT Class 11 Maths Chapter 9 Notes |
NCERT Class 12 books will be a good option. In chapter 7 the sequence and series chapter is provided.
The notes for Class 12 chapter 7, sequence, and series chapter can be downloaded from the given link below
link:https://school.careers360.com/ncert/ncert-class-12th-chemistry-chapter-7-the-p-block-elements-notes
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