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
Arithmetic Sequences - Test Yourself
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
Geometric Sequences - Test Yourself