Applied Mathematics – Sequence and Series

Applied Mathematics – Sequence and Series, available at $19.99, has an average rating of 4.75, with 33 lectures, based on 4 reviews, and has 22 subscribers.

You will learn about Introduction Sequences Series Arithmetic Progression (A.P.) Geometric Progression (G. P.) Relationship Between A.M. and G.M. Sum to n Terms of Special Series This course is ideal for individuals who are Complete Mathematics for Engineering Entrance Exam Preparation. ( IIT-JEE Main | Advanced | BITSAT | SAT | etc.) or Those preparing for board and competitive exams State Board, CBSE, ICSE , IGCSE, MHT-CET & NEET or Courses are suitable for 160 countries from Europe, America, Middle East, Asia, Africa and APAC. Notably England, Germany, France, Sweden, Ireland, Scotland, USA, Canada, UAE, Saudi, Qatar, Kuwait, Malaysia, Indonesia, Myanmar, Newzealand, Australia, South Africa, South Korea, Nigeria, Nepal, Sri Lanka, etc It is particularly useful for Complete Mathematics for Engineering Entrance Exam Preparation. ( IIT-JEE Main | Advanced | BITSAT | SAT | etc.) or Those preparing for board and competitive exams State Board, CBSE, ICSE , IGCSE, MHT-CET & NEET or Courses are suitable for 160 countries from Europe, America, Middle East, Asia, Africa and APAC. Notably England, Germany, France, Sweden, Ireland, Scotland, USA, Canada, UAE, Saudi, Qatar, Kuwait, Malaysia, Indonesia, Myanmar, Newzealand, Australia, South Africa, South Korea, Nigeria, Nepal, Sri Lanka, etc.

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Summary

Title: Applied Mathematics – Sequence and Series

Price: $19.99

Average Rating: 4.75

Number of Lectures: 33

Number of Published Lectures: 33

Number of Curriculum Items: 33

Number of Published Curriculum Objects: 33

Original Price: ₹1,199

Quality Status: approved

Status: Live

What You Will Learn

Introduction
Sequences
Series
Arithmetic Progression (A.P.)
Geometric Progression (G. P.)
Relationship Between A.M. and G.M.
Sum to n Terms of Special Series

Who Should Attend

Complete Mathematics for Engineering Entrance Exam Preparation. ( IIT-JEE Main | Advanced | BITSAT | SAT | etc.)
Those preparing for board and competitive exams State Board, CBSE, ICSE , IGCSE, MHT-CET & NEET
Courses are suitable for 160 countries from Europe, America, Middle East, Asia, Africa and APAC. Notably England, Germany, France, Sweden, Ireland, Scotland, USA, Canada, UAE, Saudi, Qatar, Kuwait, Malaysia, Indonesia, Myanmar, Newzealand, Australia, South Africa, South Korea, Nigeria, Nepal, Sri Lanka, etc

Target Audiences

Complete Mathematics for Engineering Entrance Exam Preparation. ( IIT-JEE Main | Advanced | BITSAT | SAT | etc.)
Those preparing for board and competitive exams State Board, CBSE, ICSE , IGCSE, MHT-CET & NEET
Courses are suitable for 160 countries from Europe, America, Middle East, Asia, Africa and APAC. Notably England, Germany, France, Sweden, Ireland, Scotland, USA, Canada, UAE, Saudi, Qatar, Kuwait, Malaysia, Indonesia, Myanmar, Newzealand, Australia, South Africa, South Korea, Nigeria, Nepal, Sri Lanka, etc

Sequence and Series

Sequence and Series
Arithmetic Progression (A.P.)
Arithmetic Mean (A.M.)
Geometric Progression (G.P.)
General term of a G.P.
Sum of n terms of a G.P.
Arithmetic and Geometric series infinite G.P. and its sum
Geometric mean (G.M.)
Relation between A.M. and G.M.

SUMMARY

1. By a sequence, we mean an arrangement of number in definite order according to some rule. Also, we define a sequence as a function whose domain is the set of natural numbers or some subsets of the type {1, 2, 3, ….k}. A sequence containing a finite number of terms is called a finite sequence. A sequence is called infinite if it is not a finite sequence.

2. Let a1 , a2 , a3 , … be the sequence, then the sum expressed as a1 + a2 + a3 + … is called series. A series is called finite series if it has got finite number of terms. ®

3. An arithmetic progression (A.P.) is a sequence in which terms increase or decrease regularly by the same constant. This constant is called common difference of the A.P. Usually, we denote the first term of A.P. by a, the common difference by d and the last term by l. The general term or the n th term of the A.P. is given by an = a + (n – 1) d. The sum Sn of the first n terms of an A.P. is given by

Sn = n/2 [2a + (n-1)d ] = n/2 (a + 1).

4. The arithmetic mean A of any two numbers a and b is given by (a + b) / 2 i.e., the sequence a, A, b is in A.P.

5. A sequence is said to be a geometric progression or G.P., if the ratio of any term to its preceding term is same throughout. This constant factor is called the common ratio. Usually, we denote the first term of a G.P. by a and its common ratio by r.

6. The geometric mean (G.M.) of any two positive numbers a and b is given by the sequence a, G, b is G.P.

Course Curriculum

Chapter 1: Sequence and Series

Lecture 1: Introduction

Lecture 2: Arithmetic Progression

Lecture 3: Arithmetic Progression – Sum of n Terms

Lecture 4: Types of Means (Arithmetic mean)

Lecture 5: Geometric Progressions

Lecture 6: Geometric Progressions (Sum of n Terms)

Lecture 7: Geometric Progressions (Sum of Infinite Terms)

Lecture 8: Geometric Progressions (Property of Sum of n terms)

Lecture 9: Types of Means (Geometric Mean)

Lecture 10: Expressing Recurring Decimals as Rational Numbers

Lecture 11: Arithmetico-Geometric Progressions (AGP)

Lecture 12: Sum of n Terms of AGP

Lecture 13: Sum to Infinity of AGP

Lecture 14: Harmonic Progressions

Lecture 15: Types of Means (Harmonic mean)

Lecture 16: Relation Between am, gm and hm

Lecture 17: am, gm and hm (If x = y)

Lecture 18: Sum of First n Natural Numbers

Lecture 19: Sum of Squares of First n Natural Numbers

Lecture 20: Sum of Cubes of First n Natural Numbers

Chapter 2: Numericals (Level 1 | Level 2 | Level 3)

Lecture 1: Level – 1 Question -1

Lecture 2: Level – 1 Question -2

Lecture 3: Level – 1 Question -3

Lecture 4: Level – 1 Question -4

Lecture 5: Level – 1 Question -5

Lecture 6: Level – 1 Question -6

Lecture 7: Level – 1 Question -7

Lecture 8: Level – 1 Question -8

Lecture 9: Level – 1 Question -9

Lecture 10: Level – 1 Question -10

Lecture 11: Level – 1 Question -11

Lecture 12: Level – 1 Question -12

Lecture 13: Level – 2 Solved Questions – 10

Instructors

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