# Category:Examples of Sum of Arithmetic Sequence

This category contains examples of use of Sum of Arithmetic Sequence.

Let $\sequence {a_k}$ be an arithmetic sequence defined as:

$a_k = a + k d$ for $n = 0, 1, 2, \ldots, n - 1$

Then its closed-form expression is:

 $\ds \sum_{k \mathop = 0}^{n - 1} \paren {a + k d}$ $=$ $\ds n \paren {a + \frac {n - 1} 2 d}$ $\ds$ $=$ $\ds \frac {n \paren {a + l} } 2$ where $l$ is the last term of $\sequence {a_k}$

## Pages in category "Examples of Sum of Arithmetic Sequence"

The following 6 pages are in this category, out of 6 total.