# Sum of Arithmetic Sequence

**Formula:** `S = (n/2) * [2a + (n - 1)d]`

The sum of an arithmetic sequence can be found by multiplying the average of the first and last term by the number of terms. The first term of the sequence is ** a**, the common difference between the terms is

**, and the number of terms is**

*d***.**

*n*Arithmetic sequences are used in various real-world applications such as calculating loan payments, scheduling tasks, and determining the sum of investments over time.

Tags: Algebra, Sequence, Sum, Arithmetic