## n-th term of arithmetic progression or arithmetic sequence (given arithmetic series,first term)

### Formula

an
n-th term
Sn
arithmetic series, sum of n elements
a1
initial term
n
number of elements

### Formula description

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 3, 5, 7, 9, 11, 13, ... is an arithmetic progression with common difference 2. The sum of the members of a finite arithmetic progression is called an arithmetic series.

Sn
a1
n
an
Precision

### References

1. wikipedia: Arithmtic progression.

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