geometric progression
Ratio-based series
A geometric progression is a sequence of numbers where each term is multiplied by the same constant to get the next: 2, 4, 8, 16, 32 multiplies by 2; 81, 27, 9, 3, 1 multiplies by ⅓.
The term often emphasizes rapid, accelerating growth: Costs increased in geometric progression.
Also called geometric sequence.
Quantity multiplying proportionally over time
- doublingMultiplying by two
- compoundingElements merging progressively
- multiplicationProduct-finding operation
- escalationProgressive increase in intensity
acceleration · rapid increase · snowball effect · population growth · bacterial growth · viral spread · Moore's law · compound interest
Ordered set of related items
- termsConditions of an agreement
- ratioComparative numerical relation
- powersAbilities or authorities held
- doublingMultiplying by two
tripling · exponential · convergence · divergence · limit · sums · infinite · finite
Returns on reinvested earnings
- radioactive decayUnstable atoms releasing energy
- depreciationAsset value reduction over time
- bacterial growthIncrease in microorganism population
- investmentDeploying capital for returns
mortgage · inflation · half-life · viral spread · acoustics · signal processing · fractal · scaling
exponential growth
Quantity multiplying proportionally over time
- doublingMultiplying by two
- compoundingElements merging progressively
- multiplicationProduct-finding operation
escalation · acceleration · rapid increase · snowball effect · population growth · bacterial growth · viral spread · Moore's law · compound interest · runaway growth
series
Ordered set of related items
- termsConditions of an agreement
- ratioComparative numerical relation
- powersAbilities or authorities held
doubling · tripling · exponential · convergence · divergence · limit · sums · infinite · finite · recursive
compound interest
Returns on reinvested earnings
- radioactive decayUnstable atoms releasing energy
- depreciationAsset value reduction over time
- bacterial growthIncrease in microorganism population
investment · mortgage · inflation · half-life · viral spread · acoustics · signal processing · fractal · scaling · economic growth
ratio
Comparative numerical relation
calculation · proof · theorem · equation · variable · coefficient · logarithm · base · power · multiplication
- seriesseries, sum, sequence, arithmetic sequence, number sequence
- Math RulesPythagorean theorem, distributive property, commutative property, associative property, order of operations
- music theorynote, notes, chord, chords, harmony
- MalthusianismMalthusianism, moral restraint, misery, vice, poor laws
geometric, progression, geometry, geometrical, geometrically, geometer, progress, progressive, progressively