## Toppers Notes on Sequence & Series

Below you will get an embedded PDF file of the topic “toppers notes on Sequence & Series for jee main & Advanced”, where you have the facility to read, download, or print the document at your convenience. You can take the help of these short notes for the preparation of All India engineering examinations like JEE Main & JEE Advanced. In fact, these notes are helpful to crack any entrance exam in which the mathematics up to 12th class is asked.

### Table of Content

• Definition of Sequence & Series.
• Progression.
• Arithmetic progression.
• The nth term of an arithmetic progression.
• Sum of n terms of an arithmetic progression.
• Properties of an arithmetic progression.
• Single and n arithmetic mean.
• Inserting one/n arithmetic means between two numbers.
• Geometric Progression.
• the nth term of a GP.
• Sum of n terms of a GP.
• Sum of infinite terms of a GP.
• Properties of a GP.
• Single and n geometric mean.
• Inserting one/n geometric means between two numbers.
• Harmonic progression.
• the nth term of an HP.
• Single and n harmonic mean.
• Inserting one/n harmonic means between two numbers.
• The relation between AM, GM, and HM.
• Some special sequences.
• The general rule of finding the value of a recurring decimal.
• Arithmetic-Geometric Progression.
• Recurring relation.
• Method of difference.
• Lagrange’s identity.