Make-It-Easy Arithmetic Progression(Janjang Aritmetik)

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, . . . is an arithmetic progression with common difference of 2.

If the initial term of an arithmetic progression is ${\displaystyle a_{1}}$ and the common difference of successive members is d, then the nth term of the sequence (${\displaystyle a_{n}}$) is given by:

${\displaystyle \ a_{n}=a_{1}+(n-1)d}$,

and in general

${\displaystyle \ a_{n}=a_{m}+(n-m)d}$.

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

The behavior of the arithmetic progression depends on the common difference d. If the common difference is:

• positive, then the members (terms) will grow towards positive infinity;
• negative, then the members (terms) will grow towards negative infinity.

Make-It-Easy Note Arithmetic Progression Download