Sequences and Series

Sequences and series explained with definitions, types, general terms, sums, and examples to build strong mathematical foundations.

1.Introduction to Sequences

Understand what sequences are, how they are represented, and how each term is defined using simple, intuitive explanations and examples.

2.Types of Sequences

Learn different types of sequences such as finite, infinite, monotonic, bounded, and periodic sequences with clear explanations and examples.

3.Arithmetic Sequences

Learn arithmetic sequences through simple explanations, the meaning of common difference, formulas for the general term, and clear examples.

4.Geometric Sequences

Learn geometric sequences through simple explanations, the meaning of common ratio, formulas for the general term, growth and decay behaviour, and clear examples.

5.Arithmetic Series

Learn arithmetic series with simple explanations, sum formulas, pairing method, applications, and clear examples.

6.Geometric Series

Learn geometric series with simple explanations, formulas for finite and infinite sums, conditions for convergence, and clear real-life examples.

7.Special Series (Σn, Σn², Σn³)

Understand sigma notation and learn the standard formulas for the sums of the first n natural numbers, their squares, and their cubes with simple explanations and examples.