Description
Return factor=currentProduct/previousProduct, requiring nonzero previousProduct.
A sequence rule specifies an index origin, state order, and relation among terms. Advancing one step, mapping an index, and checking a local residual answer different questions. Supplied coefficients or periods define a model; they do not establish that observations follow it.
Return factor=currentProduct/previousProduct, requiring nonzero previousProduct.
When to use this tool
Use Sequence One Step Cumulative Product Ratio when you need this particular index map, recurrence step, count, or local algebraic term under supplied sequence conventions.
How to use the tool and how it works
- Enter previousProduct, currentProduct. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read factor. Use the output convention below.
Return factor=currentProduct/previousProduct, requiring nonzero previousProduct.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| previousProduct | Previous Product | Required. Finite number. |
| currentProduct | Current Product | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| factor | Current cumulative product divided by previous, which must be nonzero. | Required. Finite number. |
{
"input": {
"previousProduct": 6,
"currentProduct": 24
},
"output": {
"factor": 4
}
}Limitations and assumptions
- Both values can be signed and use compatible cumulative-product conventions. This does not reconstruct earlier factors, verify a product history, or define a factor following zero.
- The field tables state structural bounds; the mechanics also specify cross-field constraints. Malformed inputs and unsupported domains cause errors. A successful false flag, empty branch value, or zero placeholder has the meaning stated above and is distinct from an input error.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.
Alternative or Complementary methods
Choose exact integer arithmetic when the index or coefficient range requires it. A complete sequence analysis needs actual terms and a consistent index and state-order convention beyond one local step.
References
Similar or alternative tools
- Sequence: Linear Recurrence First Difference Step
Advance one short real linear recurrence with oldest-to-newest state and matching coefficient order, returning next state and its first difference; no symbolic recurrence solving.
- Rational Generating Function Coefficient Step
One formal power-series coefficient from Q(z)A(z)=P(z), with supplied prior coefficients aligned to Q tail coefficients.