Number Sequence Calculator
Generate arithmetic, geometric, Fibonacci, and other number sequences with custom parameters.
Inputs
Results
Number Sequences
Common sequences: Arithmetic: each term differs by a constant (d). Geometric: each term is multiplied by a constant ratio (r). Fibonacci: each term = sum of previous two. Sum of arithmetic sequence: S = n/2 × (2a + (n−1)d).
What is the Number Sequence Calculator?
The Number Sequence Calculator is an algorithmic logic tool that identifies the mathematical pattern hiding within a string of numbers. It can instantly find the next numbers in both Arithmetic and Geometric sequences.
How It Works (Formula)
In an Arithmetic sequence, numbers increase or decrease by a constant "common difference" ($d$). In a Geometric sequence, they change by a constant "common ratio" ($r$). The calculator analyzes the gaps between your terms to deduce the rule.
$$ a_n = a_1 + (n-1)d \quad \text{and} \quad a_n = a_1 r^{(n-1)} $$
The formulas for finding the nth term of arithmetic and geometric sequences.
How to Use It
Input at least three consecutive numbers from your sequence separated by commas (for example: 3, 6, 12, 24). The tool will deduce the mathematical pattern and calculate the subsequent values in the chain.