## Number Patterns, Sequences and Series

**Linear, Quadratic, Cubic, Exponential Patterns**

Linear Patterns Problem

**Higher level (2014) Exam Questions**

**Limits of Sequences**

**The General Term for Linear and Quadratic Sequences**

Quadratic Patterns Problem

**Geometric Sequences and Series**

**Infinite Geometric Series**

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## Not required for Leaving Cert

## Do not use the results in these videos in any Junior or Leaving Cert. Exams.

Grandi's Series

(1 - 1 + 1 - 1 + .......)

1 - 2 + 3 - 4 + .......

Sum of Natural Numbers

1 + 2 + 3 + 4 + ......

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## Not required for Leaving Cert

Euler's Number (e)

Euler's Identity 1

Euler's Identity 2