What is common difference of the following arithmetic sequence?

The common difference(d) is obtained by subtracting any two consecutive terms in an arithmetic series.

For example, if  is the first term and is the second term in an arithmetic sequence then the common difference, d, will be

For example;

2,4,6,8,10,12,.............. is an arithmetic sequence with a common difference of 2.

The nth term of an arithmetic series is therefore given by;

Where  is the first term and d is the common difference.

For example;

0.02, 0.2, 2, 20, 200, 2000, ........... is a geometric sequence in which the common ratio is 10.

The nth term of a geometric sequence is given by;

where  is the first term and r is the common ratio

Key words: sequence, arithmetic sequence, geometric sequence, common difference, common ratio

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Level: High school

Subject: Mathematics

Topic: Sequence and series

Sub-topic: Arithmetic sequence

2x^2+5x+17

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