Arithmetic Series
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Common Summation Formulas Reference
| Formula | Closed Form | Complexity | Use Case |
|---|---|---|---|
| Σ i | n(n+1)/2 | O(1) | Arithmetic Progression |
| Σ i² | n(n+1)(2n+1)/6 | O(1) | Variance / Geometry |
| Σ i³ | [n(n+1)/2]² | O(1) | Cubic Series |
| Σ arⁿ | a(1-rⁿ)/(1-r) | O(1) | Geometric Growth |
| Σ 1/i | Harmonic Approximation | O(n) | Algorithms / Analysis |