# Arithmetic progression Calculator

Calculate the arithmetic progression for entered values.

Arithmetic progression sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.

Arithmetic progression is a sequence, such as the positive even integers 2, 4, 6, 8,10, 12, . . . in which each term after the first is formed by adding a constant (common difference) to the preceding term.

each member of progression can be expressed as

A_{n} = a_{1} + d(n - 1)

The sum of the first n terms S_{n} of arithmetic sequence can be expressed as

S_{n} = n(a_{1} + a_{n} )/2

## Applications of arithmetic progression

Used in straight line depreciation.

Used in prediction of any sequence.

### Difference between arithmetic progression and arithmetic sequence

Arithmetic Progression is the series of a specified range that has a common difference which is consistent getting by subtraction of two elements in the series. Where as Arithmetic Sequence is the sum that is obtained by the elements of a series of Arithmetic Progression.