Special Series (Σn, Σn², Σn³)

1. Introduction to Sigma Notation

1.1. Meaning of Σ (Summation)

1.2. How to Read a Sigma Expression

2. Sum of First n Natural Numbers

2.1. Formula for \(\sum_{k=1}^{n} k\)

2.2. Example

3. Sum of Squares of First n Natural Numbers

3.1. Formula for \(\sum_{k=1}^{n} k^2\)

3.2. Example

4. Sum of Cubes of First n Natural Numbers

4.1. Formula for \(\sum_{k=1}^{n} k^3\)

4.2. Example

5. Patterns in Special Series

5.1. Square of the Sum Pattern

5.2. Visual Understanding