Description
Advance a caller-supplied Fibonacci-style integer pair exactly using decimal text.
A sequence rule specifies how terms relate. Checking one transition, advancing a recurrence, and bounding an infinite tail answer different questions. A calculation from supplied coefficients assumes that rule; it does not infer it from observations.
Advance a caller-supplied Fibonacci-style integer pair exactly using decimal text.
When to use this tool
Use it for sequence: fibonacci pair step update when the required inputs and conventions are already available.
How to use the tool and how it works
- Enter current, next. Use the stated units and boundary conventions.
- Run the calculation. Correct any input error before interpreting a result.
- Read result. Inspect any known, defined, inclusion, or boundary flags before interpreting numeric values.
Advance the exact integer pair (a,b) to (b,a+b), parsing current and next from decimal text and returning both updated values as strings inside result.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| current | Current | Required. Text. |
| next | Next | Required. Text. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Result | Required. Object. |
{
"input": {
"current": "13",
"next": "21"
},
"output": {
"result": {
"current": "21",
"next": "34"
}
}
}Limitations and assumptions
- The pair is caller-established; the tool does not certify membership in the canonical Fibonacci sequence. Decimal text preserves integer exactness under the input-length bounds.
- The result object is nested under result. Malformed input or arithmetic outside the supported range produces an error rather than a successful comparison.
Alternative or Complementary methods
For sequence: fibonacci pair step update, check the source records and the supplied rule before comparing the result with another method. Use exact integer or symbolic arithmetic when a numerical equality is insufficient.
References
Similar or alternative tools
- Affine Recurrence Two Step Constant
Return the coefficients obtained by composing a supplied affine recurrence twice.
- Arithmetic Progression Modular Residue Step
Advance a numeric residue by a supplied difference under floating-point modulo arithmetic.