Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
a series with a constant ratio between successive terms
|
| gptkbp:hasCommonRatio |
r
|
| gptkbp:hasFirstTerm |
a
|
| gptkbp:hasGeneralTerm |
a*r^{n-1}
|
| gptkbp:hasInfiniteSumFormula |
S = a/(1 - r), |r| < 1
|
| gptkbp:hasSpecialCase |
power series
|
| gptkbp:hasSumFormula |
S_n = a(1 - r^n)/(1 - r), r ≠ 1
|
| https://www.w3.org/2000/01/rdf-schema#label |
geometric series
|
| gptkbp:isConvergentIf |
|r| < 1
|
| gptkbp:isDivergentIf |
|r| ≥ 1
|
| gptkbp:relatedTo |
arithmetic series
|
| gptkbp:usedIn |
gptkb:mathematics
computer science finance physics |
| gptkbp:bfsParent |
gptkb:Neumann_series
gptkb:A_series |
| gptkbp:bfsLayer |
6
|