Sequence and Series Class 12 Mathematics Notes | Exercise – 4.1

If you were searching for the notes of Class 12, Sequence & Series chapter, then your search is over now. You'll find the notes in this article. However, you'll only find the notes of the first exercise. Nevertheless, you can click on the button below to proceed to the next exercise.

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Sequence & Series Class 12

Sequence and Series Class 12 Mathematics Notes has been updated according to the latest syllabus of 2080. It means the solutions of Sequence and Series chapter provided in this article contains all the new exercise that has recently been updated. Now you don’t need to go anywhere searching for the notes of this chapter because we are here to serve you. 

  Chapter – 4  
Sequence and Series

We have already discussed about sequence and series in grade XI. So, here we discuss about the natural numbers and the sum of the natural numbers and also about the principle of mathematical induction.

Class 12 Sequence and Series chapter has 2 exercises in total. You can click on the buttons given below to view exercise-wise notes. 

Natural Number

The numbers 1, 2, 3, … are said to be the natural numbers. Now we derive some of the formulae for the sum of the first n natural numbers, the sum of the squares of first n natural numbers and the sum of the cubes of first n natural numbers.

Sequence and Series Class 12 Mathematics Notes

Sequence and Series Class 12 Mathematics Notes PDF

This PDF will provide the solutions of every question from the 1st exercise of class 12 sequence and series. If you want the solutions of other exercises then you can select the exercise from the button given above. 

Introduction to Sequence and Series 

Sequences and series are fundamental concepts in mathematics that deal with ordered lists of numbers and the sum of these numbers, respectively. A sequence is an ordered list of numbers following a specific pattern or rule, while a series is the sum of the terms in a sequence. These concepts are widely used in various branches of mathematics, including calculus, algebra, and number theory.

Sequence 

A sequence is an ordered list of numbers arranged according to a specific rule or pattern. Each number in the sequence is called a term. For example, \(1, 4, 7, 10, …\), represents a sequence where each term increases by 3.

Series

A series is the sum of the terms in a sequence. It is represented by adding all the terms in the sequence. For example, the series \(1 + 4 + 7 + 10 + …\) would be the sum of all terms in the given sequence.

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