6 calculators in this category
- Arithmetic Sequence CalculatorGive this calculator a first term and either the common difference or any other term of the sequence, and it returns the nth…
- Geometric Sequence CalculatorGeometric progression, aₙ = a₁rⁿ⁻¹A geometric sequence multiplies by the same number every step. Give this calculator the first term and either the common ratio…
- Fibonacci Sequence CalculatorBinet's closed formEnter a term index and this calculator returns that Fibonacci number, the term immediately after it, the running sum of every…
- Factorial Calculator (n!)Gamma function; Legendre's formula for trailing zerosThe factorial of a whole number n , written n! , is the product of every whole number from 1 up to n . It counts the ways to…
- Permutation Calculator (nPr)Permutations, arrangements of a multisetA permutation counts ordered arrangements. Gold, silver and bronze from eight runners is a permutation; a three-person…
- Combination Calculator (nCr)Binomial coefficient (Pascal's rule)A combination counts how many different unordered selections of r items you can make from n distinct items. Choosing Ann, Ben…
Which one do you need?
- Arithmetic Sequence Calculator
- Find the nth term, the common difference and the partial sum of an arithmetic progression, from a difference or from any two known terms, with the terms listed.
- Geometric Sequence Calculator
- Find the nth term, common ratio, partial sum and sum to infinity of any geometric progression, plus the term list and whether the series converges.
- Fibonacci Sequence Calculator
- Find any Fibonacci number, the running sum and the ratio that approaches the golden ratio. Binet's closed-form formula is shown, explained and checked.
- Factorial Calculator (n!)
- Compute n! exactly for n up to 1000, plus digit count, trailing zeros, log10 and the double factorial. Includes the gamma extension for non-integers.
- Permutation Calculator (nPr)
- Count ordered arrangements with P(n,r) = n!/(n−r)!, with repetition as n^r, or letters of a word as a multiset. See every step and the odds of one order.
- Combination Calculator (nCr)
- Count unordered selections with C(n,r) = n!/(r!(n−r)!), with or without repetition. See the worked steps, the ordered comparison and the odds of one pick.
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