Number Sequence Calculator

Paste a sequence to identify arithmetic, geometric, Fibonacci-style or quadratic patterns, continue the next terms, inspect differences, and calculate an nth term.

Sequence type

First term a₁

Common difference d

Number of terms n

—nth term

—Sum of n terms

—Minimum shown

—Maximum shown

——

Sequence pattern finder & nth-term workbench

Paste known terms instead of guessing the sequence type. The detector checks constant first differences, constant ratios, Fibonacci-style recursion and constant second differences for quadratic patterns.

Known sequence

Next termsFind term n

Detected pattern—

Formula / recurrence—

Pattern evidence—

Requested nth term—

Next predicted terms—

n	Term	1st difference	2nd difference

Detection boundary: many short lists can fit more than one mathematical rule. This tool reports only exact matches for four supported families: arithmetic, geometric, Fibonacci-style recursion, and quadratic sequences with constant second differences. It does not claim to discover every possible sequence rule.

Ready to analyze.

Pattern & term verification

Recompute the visible arithmetic/geometric sequence and expose difference/ratio evidence plus a portable term table.

Pattern evidence

Preview terms

Diagnostic

Copy format

n	Term	Δ / ratio

Use the tool above, then refresh this audit.

Audit uses the visible inputs plus the assumptions shown here.