Arithmetic progression
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In mathematics, an arithmetic progression is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. For instance, the sequence 3, 5, 7, 9, 11, ... is an arithmetic progression with common difference 2.
If the initial term of an arithmetic progression is <math>a_1<math> and the common difference of successive members is d, then the nth term of the sequence is given by:
- <math>a_n = a_1 + (n - 1)d<math>
The sum of the numbers in (an initial segment of) an arithmetic progression is called an arithmetic series.
See also
External link
- Arithmetic series - from Wolfram Mathworld (http://mathworld.wolfram.com/ArithmeticSeries.html)de:Arithmetische Reihe
nl:Rekenkundige rij ko:등차수열 pt:Progresso aritmtica ru:Арифметическая прогрессия th:การก้าวหน้าเลขคณิต uk:Арифметична прогресія