An arithmetic progression is a sequence of numbers related by a “linear” rule. If the first number is aa, and the difference between terms is dd, then a finite arithmetic progression with nnterms is given by
a, a+d, a+2d, …, a+(n−1)d.a, a+d, a+2d, …, a+(n−1)d.
An infinite arithmetic progression is such a sequence without a last term. That is, an infinite arithmetic progression is the set
{a+kd|k∈N},{a+kd|k∈N},
where N={0,1,2,…}N={0,1,2,…} is the set of natural numbers, written in order.
In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. ... Afinite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression.