geometric series
Constant multiplier sequence
A geometric series is a sequence of numbers where each term is multiplied by a constant ratio to get the next: 1, 2, 4, 8, 16... or 100, 10, 1, 0.1...
The series converges to a finite sum when the ratio is between -1 and 1; otherwise it grows without bound.
Geometric series model compound interest, population growth, and many natural phenomena.
Sequential forward movement
- termFixed period or word
- first termOpening period in office
- multiplicationProduct-finding operation
- exponentiationRaising to a power
ratio · index · recurrence relation · general term · monotonic · pattern
Maximum allowed extent
- sumAddition's result
- boundedConfined within limits
- first termOpening period in office
- summationAdding to find total
Returns on reinvested earnings
- annuityPeriodic fixed payment
- present valueCurrent equivalent of future sum
- future valueAmount after growth
- amortizationGradual debt reduction schedule
loan repayment · depreciation · perpetuity · installments · discounting · growth rate · principal · investment growth
Having no limits
- infinityUnlimited extent or quantity
- growthIncrease in size
- no limitWithout a maximum
- oscillationRepeated back-and-forth movement
Identical at every magnification
progression
Sequential forward movement
- termFixed period or word
- first termOpening period in office
- multiplicationProduct-finding operation
exponentiation · ratio · index · recurrence relation · general term · monotonic · pattern
limit
Maximum allowed extent
- sumAddition's result
- boundedConfined within limits
- first termOpening period in office
compound interest
Returns on reinvested earnings
- annuityPeriodic fixed payment
- present valueCurrent equivalent of future sum
- future valueAmount after growth
amortization · loan repayment · depreciation · perpetuity · installments · discounting · growth rate · principal · investment growth · savings
unbounded
Having no limits
self-similarity
Identical at every magnification
geometric, series, geometry, geometries, geometrical, geometrically, geometer, geometers, serial