Question

Write summation formulae for arithmetic and geometric series

Answer 1

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

Answer 2

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