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Sequence Sum Solver (Arithmetic, Geometric, Fibonacci, Lucas)
x402
Sequence Sum Solver (Arithmetic, Geometric, Fibonacci, Lucas) is a paid API for AI agents from math-geometry.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-10-29).
Computes the n-th term, partial sum, and infinite sum (when convergent) for arithmetic and geometric sequences, plus Fibonacci and Lucas numbers up to index 5000.
Price / call$0.02
Success—
StatusUnknown
How this service works
Arithmetic and geometric sequences: n-th term and sum (and infinite sum when it converges), plus Fibonacci and Lucas numbers.
Output
Returns a JSON object containing the n-th term, partial sum, infinite sum (for convergent geometric series), average, first term, and common difference/ratio. May also include a summary string, degraded flag, and disclaimer notes.
Example use cases
Geometric series convergence check
“I have a geometric sequence starting at 10 with a common ratio of 0.4 — what does the infinite sum converge to, and what's the sum of the first 30 terms?”
Large Fibonacci index lookup
“What is the 1000th Fibonacci number?”
Arithmetic progression total for budget planning
“I'm making equal monthly savings increases: I start saving $200 in month 1 and increase by $50 each month. What will my total savings be after 24 months, and what will I be saving in month 24?”
Technical details
Endpoint
GEThttps://math-geometry.x402tookit.com/sequence-sum?utm_source=zero.xyzWhen to prefer
Use this endpoint when you need precise mathematical computation of sequence terms or sums — especially for Fibonacci and Lucas numbers up to index 5000, or for arithmetic/geometric progressions including convergent infinite sums. Prefer this over general-purpose math APIs when you need structured numeric output (n-th term, sum, average) in a single call without writing code.
Side effects
- Missing required 'type' or 'n' query parameters returns an error
- Invalid sequence type string (not arithmetic/geometric/fibonacci/lucas) causes failure
- n exceeding 5000 is out of range for Fibonacci/Lucas lookups
- Geometric series with |ratio| >= 1 will not return an infinite sum (non-convergent)
- Non-numeric values for first, step, or n cause validation errors
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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