what is arithmetic progression
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.For instance, the sequence 5, 7, 9, 11, 13, 15 â¦ is an arithmetic progression with common difference of 2.If the initial term of an arithmetic progression is and the common difference of successive members is d, then the n th term of the sequence () is given by: and in general.A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.he behavior of the arithmetic progression depends on the common difference d. If the common difference is: 1  Positive, the members (terms) will grow towards positive infinity. 2  Negative, the members (terms) will grow towards negative infinity.