Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:DJ
|
| gptkbp:application |
Used in finance for calculating interest.
Used in computer science for algorithm analysis. |
| gptkbp:common_name |
The constant difference between consecutive terms.
|
| gptkbp:defines |
A sequence of numbers in which the difference between consecutive terms is constant.
|
| gptkbp:example |
2, 4, 6, 8, 10 is an AP series with a common difference of 2.
3, 7, 11, 15 is an AP series with a common difference of 4. |
| gptkbp:has_property |
The series is unbounded if the common difference is non-zero.
|
| https://www.w3.org/2000/01/rdf-schema#label |
AP Series
|
| gptkbp:is_described_as |
Can have infinite terms.
The n-th term can be expressed as a linear function. |
| gptkbp:is_different_from |
The difference is constant throughout the series.
|
| gptkbp:related_concept |
Calculus
Linear Functions Arithmetic Progression Sequences and Series Quadratic Functions Geometric Series |
| gptkbp:represents |
A straight line when plotted on a graph.
|
| gptkbp:series |
S_n = n/2 * (2a_1 + (n-1)d)
The sum can be calculated using the formula S_n. An AP series diverges unless the common difference is zero. |
| gptkbp:strategic_importance |
Fundamental in understanding linear relationships.
|
| gptkbp:symbol |
Typically denoted as a_1, a_2, a_3, ..., a_n.
|
| gptkbp:term_end |
The first term of the sequence.
a_n = a_1 + (n-1)d |
| gptkbp:bfsParent |
gptkb:Titleist_irons
|
| gptkbp:bfsLayer |
6
|