Monday, July 13, 2009

What is Arithmetic Progression and Geometric Progression ?

In mathematics, arithmetic progression (A.P.) or arithmetic sequence is a series 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:
An = A1+(n-1) *D

2, 4, 6, 8 ,10 , 12 is a AP series having the common difference of 2.


Geometric progression, also known as a geometric sequence, is a series of numbers each term after the first is found by multiplying the previous one by a fixed non-zero number called the common ratio.
The series can be obtained by :
A, Ar, …………….

2, 4, 8, 16, 32 is a GP series having the common ratio 2

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