Arithmetic and Geometric Series and summation formulas

Arithmetic Sequences and Series - Key Facts

• An arithmetic sequence is one which begins with a first term () and where each term is separated by a common difference () - eg.
• A series is the sum of the terms of a sequence  - eg. .
• The nth term of an arithmetic sequence is given by  The total of the first n terms of an arithmetic series is given by

Geometric Sequences and Series - Key Facts

• An geometric sequence is one which begins with a first term () and where each term is separated by a common ratio () - eg.
• The nth term of an geometric sequence is given by  The total of the first n terms of an geometric series is given by  The sum to infinity of a convergent geometric series is given by