Category:Sum of Arithmetic Sequence
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This category contains pages concerning Sum of Arithmetic Sequence:
Let $\sequence {a_k}$ be an arithmetic sequence defined as:
- $a_k = a + k d$ for $k = 0, 1, 2, \ldots, n - 1$
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 $\sequence {a_k}$ |
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Pages in category "Sum of Arithmetic Sequence"
The following 2 pages are in this category, out of 2 total.