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Arithmetic progression Calculator


Calculate the arithmetic progression for entered values.

Enter nth term :
Enter the first term :
Enter the common difference :

 

Arithmetic Progression :
Sum of first n terms:

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

An = a1 + d(n - 1)

The sum of the first n terms Sn of arithmetic sequence can be expressed as
Sn = n(a1 + an )/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.