Description
Calculate the gap between surviving arithmetic-progression neighbors after one missing term.
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.
Calculate the gap between surviving arithmetic-progression neighbors after one missing term.
When to use this tool
Use it for arithmetic progression one term deletion gap when the required inputs and conventions are already available.
How to use the tool and how it works
- Enter difference. Use the stated units and boundary conventions.
- Run the calculation. Correct any input error before interpreting a result.
- Read bridgingGap. Inspect any known, defined, inclusion, or boundary flags before interpreting numeric values.
Return bridgingGap = 2*difference for the separation of surviving neighbors after one arithmetic-progression term is removed.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| difference | Difference | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| bridgingGap | Bridging Gap | Required. Finite number. |
{
"input": {
"difference": 3
},
"output": {
"bridgingGap": 6
}
}Limitations and assumptions
- The difference is supplied rather than estimated. Two missing terms or an irregular sequence require a different model; the gap has the same unit as the original terms.
- The field tables describe structural bounds; the mechanics also state cross-field requirements. Malformed input shapes, disallowed keys, and invalid domains cause input errors. Results must remain finite and within the declared output contract. A successful false flag or zero placeholder is distinct from an error.
- Numeric arithmetic uses binary floating point. Exact comparisons have no hidden tolerance or decimal rounding; negative zero is exported as zero. Decimal-text integer operations retain the exactness specifically stated above.
Alternative or Complementary methods
For arithmetic progression one term deletion gap, 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
- Arithmetic Progression Modular Residue Step
Advance a numeric residue by a supplied difference under floating-point modulo arithmetic.
- Arithmetic Progression Modulus Residue
Calculate an exact arithmetic-progression term modulo a positive integer using decimal text.