geometric progression
noun[CorU]
mathematicsspecializeduk/ˌdʒiː.əˈmet.rɪk prəˈɡreʃ.ən/us/ˌdʒiː.əˈmet.rɪk prəˈɡreʃ.ən/(alsogeometric sequence,uk/ˌdʒiː.əˈmet.rɪk ˈsiː.kwəns/us/ˌdʒiː.əˈmet.rɪk ˈsiː.kwəns/);(alsoold-fashionedgeometrical progression,uk/ˌdʒiː.əˈmet.rɪ.kəl prəˈɡreʃ.ən/us/ˌdʒiː.əˈmet.rɪ.kəl prəˈɡreʃ.ən/)anorderedset ofnumbers, where eachnumberinturnismultipliedby aparticularamounttoproducethe next, forexample2, 6, 18, 54 ... :
几何级数：从第一项开始，以后毎一项都是它前一项乘上一个固定数，如2, 6, 18, 54...Epidemics are anexampleofgeometricprogression: when avirusspreadsthrough apopulation, itdoublesanddoublesagain.流行病是几何级数的一个例子：病毒在人群中传播时，会成倍成倍地感染。
Theterms1,2,4,8formageometricsequence.1,2,4,8四个项构成一个几何序列。
Compare
arithmetic progression
- In thisviewmemesspreadamongconsumersin ageometricprogression.
- Thischainmodelisbasedon thehopeoffinancialgainresultingfrom ageometricprogressionof thenumberofpeoplerecruited.
- In awarmclimate,beesflourishto such anextentthathivesproliferateingeometricprogression.
- Theessenceof hisviewwas that a country'spopulationhad atendencytogrowingeometricprogressionovertime.
- Thepopulationon thelimitedsurfaceof thisplanetwhichbearsus, isincreasinginalmostgeometricalprogression.
Numerical relationships
- absolute maximum
- absolute minimum
- arithmetic progression
- cardinality
- decreasing
- differential
- disproportionate
- intersect
- inverse function
- inverse proportion
- linear
- linearly
- monotonic
- percent
- percentage
- prorated
- quantile
- ratio
- recursion
- trinomial