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Numora Calculus Series Summation API
x402
Numora Calculus Series Summation API is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).
Computes the partial sum or convergence of a mathematical series given a term expression indexed by n
Price / call$0.1
Success—
StatusUnknown
How this service works
100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.
Output
Returns a JSON object with a boolean success flag, a result object containing the computed series sum and convergence details, and a human-readable computation string describing what was calculated.
Example use cases
Infinite series convergence check
“I need to know if the series with term 1/(n*(n+1)) converges and what value it approaches — run it up to 500 terms with a tolerance of 0.00001.”
Taylor series partial sum evaluation
“Can you compute the partial sum of the Taylor series for e^x using the term x^n/n! for x=1, stopping after 20 terms?”
Custom geometric series summation
“Sum the geometric series where each term is (1/2)^n for the first 50 terms and tell me how close it is to the theoretical limit.”
Technical details
Endpoint
POSThttps://numomo.vercel.app/api/calculus/seriesWhen to prefer
Choose this endpoint when you need pure server-side series summation or convergence analysis with no external library dependencies, especially for arbitrary user-defined term expressions indexed by n. Prefer this over general-purpose compute environments when you want a lightweight, single-call, pay-per-use solution with deterministic math results.
Side effects
- Invalid or unparseable fn expression returns an error
- Non-convergent series with no tolerance may run to maxTerms without settling
- maxTerms too large may cause timeout or slow response
- Missing required fn field returns validation error
- Division by zero in term expression at certain n values causes computation failure
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| fnrequired | string | Term expression with index n |
| maxTerms | integer | |
| tolerance | number |
Output
Schema · Response
| Field | Type | Description |
|---|---|---|
| resultrequired | object | Computation result varies by endpoint |
| successrequired | boolean | Always true on success |
| computationrequired | string | Human-readable description of what was computed |
Tags
x402
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