Series and Sequence
A series is the value (sum) obtained when all the terms of a sequence are added up. For example, "1, 2, 3, 4" is a sequence, with terms "1", "2", "3", and "4"; the corresponding series is the sum "1 + 2 + 3 + 4", and the value of the series is 10.
A sequence, aka progression, is an ordered list of numbers. The numbers in this ordered list are called "elements" or "terms".
While some sequences are simply random values, other sequences have a definite pattern that is used to arrive at the sequence's terms. Two such sequences are the arithmetic and geometric sequences.
An arithmetic sequence is one that has a sequence of values follows a pattern of adding a fixed or constant amount from one term to the next.
vCalc's Series and Sequence contains equations that compute the sum of the terms of a sequence.
Parent Categories
Series and Sequence Calculators and Collections
Series and Sequence Equations
- Arithmetic Series- Alternative Sum-of-Terms Formula MichaelBartmess Use Equation
- Arithmetic Series-Last Term Formula_Copy MichaelBartmess Use Equation
- Fibonacci Sequence MichaelBartmess Use Equation
- Fibonacci Term MichaelBartmess Use Equation
- Golden Ratio Sequence MichaelBartmess Use Equation
- Infinite Geometric Series CalebSvobodny Use Equation
- Liouville's Number MichaelBartmess Use Equation
- Sum of Infinite Geometric Series_Copy MichaelBartmess Use Equation
- Sum_014-3 MichaelBartmess Use Equation
- Sum_014-4 MichaelBartmess Use Equation
- Sum_0_142 MichaelBartmess Use Equation
- Table of Integrals, Series and Products, 0.14 - 2 MichaelBartmess Use Equation
- `sum_(k=0) ^ (n-1) (a+kr)` MichaelBartmess Use Equation
- `sum_(k=1)^n1/([p + (k-1)q](p+kq))` MichaelBartmess Use Equation
- `sum_(k=1)^naq^(k-1)` MichaelBartmess Use Equation
- `sum_(k=1)^nk^p` MichaelBartmess Use Equation
- `sum_(x=0)^n(r^x cos(x alpha))` KurtHeckman Use Equation
- `sum_(x=0)^n(r^x sin(x alpha))` KurtHeckman Use Equation
- `sum_(x=1)^n cos(x alpha)` KurtHeckman Use Equation
- `sum_(x=1)^n sin(x alpha)` KurtHeckman Use Equation
- `sum_(x=1)^n x` KurtHeckman Use Equation
- `sum_(x=1)^n(2x-1)` KurtHeckman Use Equation
- `sum_(x=1)^n(a +(x-1)d)` KurtHeckman Use Equation
- `sum_(x=1)^n(x^2)` KurtHeckman Use Equation
- `sum_(x=1)^n(x^3)` KurtHeckman Use Equation
- `sum_(x=1)^n(x^4)` KurtHeckman Use Equation
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