This Arithmetic Sequence Calculator is used to calculate the nth term and the sum of the first n terms of an arithmetic sequence.
In mathematics, an arithmetic sequence, also known as an arithmetic progression, is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. The sum of the members of a finite arithmetic progression is called an arithmetic series.
If the initial term of an arithmetic sequence is a1 and the common difference of successive members is d, then the nth term of the sequence is given by:
an = a1 + (n - 1)d
The sum of the first n terms Sn of an arithmetic sequence is calculated by the following formula:
Sn = n(a1 + an)/2 = n[2a1 + (n - 1)d]/2