{
  "id": "number-sequence-calculator",
  "version": "2.0.0",
  "name": "Number Sequence Calculator",
  "shortName": "Number sequence",
  "description": "Find terms, partial sums, and a preview for arithmetic, geometric, or Fibonacci sequences.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "number sequence",
    "arithmetic sequence",
    "geometric sequence",
    "fibonacci sequence",
    "nth term",
    "series sum"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "migrated",
  "migratedDate": "2026-08-25",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/number-sequence-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "2.0.0",
    "referenceCoverage": "references-listed",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-08-25",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/number-sequence-calculator/",
    "definition": "/calculator/number-sequence-calculator/definition.json",
    "schema": "/calculator/number-sequence-calculator/schema.json",
    "llms": "/calculator/number-sequence-calculator/llms.txt",
    "legacyDefinition": "/calculator/number-sequence-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/number-sequence-calculator/?sequenceType=arithmetic&firstTerm=1&commonValue=2&termNumber=10",
  "queryParameters": {
    "sequenceType": {
      "label": "Sequence type",
      "type": "select",
      "required": true,
      "default": "arithmetic"
    },
    "firstTerm": {
      "label": "First term",
      "type": "number",
      "required": true,
      "default": 1
    },
    "commonValue": {
      "label": "Common difference or ratio",
      "type": "number",
      "required": true,
      "default": 2
    },
    "termNumber": {
      "label": "Term number (n)",
      "type": "number",
      "required": true,
      "default": 10
    }
  },
  "inputs": [
    {
      "id": "sequenceType",
      "label": "Sequence type",
      "type": "select",
      "required": true,
      "defaultValue": "arithmetic",
      "options": [
        {
          "label": "Arithmetic",
          "value": "arithmetic"
        },
        {
          "label": "Geometric",
          "value": "geometric"
        },
        {
          "label": "Fibonacci",
          "value": "fibonacci"
        }
      ],
      "width": "full"
    },
    {
      "id": "firstTerm",
      "label": "First term",
      "type": "number",
      "required": true,
      "defaultValue": 1,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "commonValue",
      "label": "Common difference or ratio",
      "type": "number",
      "required": true,
      "defaultValue": 2,
      "step": 0.01,
      "help": "Ignored for Fibonacci sequences.",
      "width": "half"
    },
    {
      "id": "termNumber",
      "label": "Term number (n)",
      "type": "number",
      "required": true,
      "defaultValue": 10,
      "min": 1,
      "max": 1000,
      "step": 1,
      "width": "full"
    }
  ],
  "outputs": [
    {
      "id": "nthTerm",
      "label": "n-th term",
      "format": "text",
      "primary": true
    },
    {
      "id": "sum",
      "label": "Sum through n",
      "format": "text"
    },
    {
      "id": "sequencePreview",
      "label": "First terms",
      "format": "text"
    },
    {
      "id": "sequenceTypeLabel",
      "label": "Sequence type",
      "format": "text"
    }
  ],
  "formula": {
    "expression": "Arithmetic: aₙ=a₁+(n−1)d; geometric: aₙ=a₁rⁿ⁻¹; Fibonacci: Fₙ=Fₙ₋₁+Fₙ₋₂."
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "sequenceType": "arithmetic",
        "firstTerm": 1,
        "commonValue": 2,
        "termNumber": 10
      }
    }
  ],
  "sources": [
    {
      "label": "Calculator.net reference calculator",
      "url": "https://www.calculator.net/number-sequence-calculator.html"
    }
  ]
}