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Arithmetic Progressive

2,416 views · Published 26 April 2010 · 6:12 · Indexed 31 October 2026

Channel: Educational Videos · 2010 · Education

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Arithmetic Progressive

In mathematics, an arithmetic progression or arithmetic sequence 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, 13,  is an arithmetic progression with common difference 2.

If the initial term of an arithmetic progression is a1 and the common difference of successive members is d, then the nth term of the sequence is given by:

    \ a_n = a_1 + (n - 1)d,

and in general

    \ a_n = a_m + (n - m)d.

A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.

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