"arithmetic progression" meaning in English

See arithmetic progression in All languages combined, or Wiktionary

Noun

Forms: arithmetic progressions [plural]
Head templates: {{en-noun}} arithmetic progression (plural arithmetic progressions)
  1. (mathematical analysis) A sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression. Wikipedia link: arithmetic progression Categories (topical): Mathematical analysis Synonyms: arithmetic sequence Related terms: geometric progression Translations (sequence): مُتَتَالِيَةٌ حِسَابِيَّة (mutatāliyatun ḥisābiyya) [feminine] (Arabic), թվաբանական պրոգրեսիա (tʻvabanakan progresia) (Armenian), 算術級數 (Chinese Mandarin), 算术级数 (suànshù jíshù) (Chinese Mandarin), 等差數列 (Chinese Mandarin), 等差数列 (děngchā shùliè) (Chinese Mandarin), aritmetická posloupnost [feminine] (Czech), differensrække [common-gender] (Danish), série arithmétique [feminine] (French), arithmetische Reihe [feminine] (German), arithmetische Progression [feminine] (German), számtani sorozat (Hungarian), barisan aritmetika (Indonesian), barisan hitung (Indonesian), seicheamh uimhríochtúil [masculine] (Irish), seicheamh comhbhreise [masculine] (Irish), progressione aritmetica [feminine] (Italian), 等差数列 (tōsa sūretsu) (alt: とうさすうれつ) (Japanese), 算術数列 (sanjutsu sūretsu) (alt: さんじゅつすうれつ) (Japanese), aritmētiskā progresija [feminine] (Latvian), تصاعد حسابی (Persian), ciąg arytmetyczny [masculine] (Polish), postęp arytmetyczny [masculine] (Polish), progressão aritmética [feminine] (Portuguese), progresie aritmetică (Romanian), serie aritmetică (Romanian), арифмети́ческая прогре́ссия (arifmetíčeskaja progréssija) [feminine] (Russian), aritmetički niz [masculine] (Serbo-Croatian), aritmetička progresija [feminine] (Serbo-Croatian), aritmetisk talföljd [common-gender] (Swedish), bilnuring panisulong (Tagalog), арифметична прогресія (aryfmetyčna prohresija) [feminine] (Ukrainian), аритметична прогресія (arytmetyčna prohresija) [feminine] (Ukrainian)

Inflected forms

Download JSON data for arithmetic progression meaning in English (5.6kB)

{
  "forms": [
    {
      "form": "arithmetic progressions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "arithmetic progression (plural arithmetic progressions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Japanese terms with redundant script codes",
          "parents": [
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            "Entry maintenance"
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        },
        {
          "kind": "other",
          "name": "Mandarin terms with non-redundant manual transliterations",
          "parents": [
            "Terms with non-redundant manual transliterations",
            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression."
      ],
      "id": "en-arithmetic_progression-en-noun-J8~S8D-D",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "common difference",
          "common difference"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression."
      ],
      "related": [
        {
          "word": "geometric progression"
        }
      ],
      "synonyms": [
        {
          "word": "arithmetic sequence"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "ar",
          "lang": "Arabic",
          "roman": "mutatāliyatun ḥisābiyya",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "مُتَتَالِيَةٌ حِسَابِيَّة"
        },
        {
          "code": "hy",
          "lang": "Armenian",
          "roman": "tʻvabanakan progresia",
          "sense": "sequence",
          "word": "թվաբանական պրոգրեսիա"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "sequence",
          "word": "算術級數"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "suànshù jíshù",
          "sense": "sequence",
          "word": "算术级数"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "sequence",
          "word": "等差數列"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "děngchā shùliè",
          "sense": "sequence",
          "word": "等差数列"
        },
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "aritmetická posloupnost"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "sequence",
          "tags": [
            "common-gender"
          ],
          "word": "differensrække"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "série arithmétique"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "arithmetische Reihe"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "arithmetische Progression"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "sequence",
          "word": "számtani sorozat"
        },
        {
          "code": "id",
          "lang": "Indonesian",
          "sense": "sequence",
          "word": "barisan aritmetika"
        },
        {
          "code": "id",
          "lang": "Indonesian",
          "sense": "sequence",
          "word": "barisan hitung"
        },
        {
          "code": "ga",
          "lang": "Irish",
          "sense": "sequence",
          "tags": [
            "masculine"
          ],
          "word": "seicheamh uimhríochtúil"
        },
        {
          "code": "ga",
          "lang": "Irish",
          "sense": "sequence",
          "tags": [
            "masculine"
          ],
          "word": "seicheamh comhbhreise"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "progressione aritmetica"
        },
        {
          "alt": "とうさすうれつ",
          "code": "ja",
          "lang": "Japanese",
          "roman": "tōsa sūretsu",
          "sense": "sequence",
          "word": "等差数列"
        },
        {
          "alt": "さんじゅつすうれつ",
          "code": "ja",
          "lang": "Japanese",
          "roman": "sanjutsu sūretsu",
          "sense": "sequence",
          "word": "算術数列"
        },
        {
          "code": "lv",
          "lang": "Latvian",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "aritmētiskā progresija"
        },
        {
          "code": "fa",
          "lang": "Persian",
          "sense": "sequence",
          "word": "تصاعد حسابی"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "sequence",
          "tags": [
            "masculine"
          ],
          "word": "ciąg arytmetyczny"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "sequence",
          "tags": [
            "masculine"
          ],
          "word": "postęp arytmetyczny"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "progressão aritmética"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "sequence",
          "word": "progresie aritmetică"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "sequence",
          "word": "serie aritmetică"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "arifmetíčeskaja progréssija",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "арифмети́ческая прогре́ссия"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "sequence",
          "tags": [
            "masculine"
          ],
          "word": "aritmetički niz"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "aritmetička progresija"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "sequence",
          "tags": [
            "common-gender"
          ],
          "word": "aritmetisk talföljd"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "sequence",
          "word": "bilnuring panisulong"
        },
        {
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "aryfmetyčna prohresija",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "арифметична прогресія"
        },
        {
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "arytmetyčna prohresija",
          "sense": "sequence",
          "tags": [
            "feminine"
          ],
          "word": "аритметична прогресія"
        }
      ],
      "wikipedia": [
        "arithmetic progression"
      ]
    }
  ],
  "word": "arithmetic progression"
}
{
  "forms": [
    {
      "form": "arithmetic progressions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "arithmetic progression (plural arithmetic progressions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "geometric progression"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Japanese terms with redundant script codes",
        "Mandarin terms with non-redundant manual transliterations",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "A sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "constant",
          "constant"
        ],
        [
          "common difference",
          "common difference"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "arithmetic progression"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "arithmetic sequence"
    }
  ],
  "translations": [
    {
      "code": "ar",
      "lang": "Arabic",
      "roman": "mutatāliyatun ḥisābiyya",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "مُتَتَالِيَةٌ حِسَابِيَّة"
    },
    {
      "code": "hy",
      "lang": "Armenian",
      "roman": "tʻvabanakan progresia",
      "sense": "sequence",
      "word": "թվաբանական պրոգրեսիա"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "sequence",
      "word": "算術級數"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "suànshù jíshù",
      "sense": "sequence",
      "word": "算术级数"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "sequence",
      "word": "等差數列"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "děngchā shùliè",
      "sense": "sequence",
      "word": "等差数列"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "aritmetická posloupnost"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "sequence",
      "tags": [
        "common-gender"
      ],
      "word": "differensrække"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "série arithmétique"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "arithmetische Reihe"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "arithmetische Progression"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "sequence",
      "word": "számtani sorozat"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "sequence",
      "word": "barisan aritmetika"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "sequence",
      "word": "barisan hitung"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "sequence",
      "tags": [
        "masculine"
      ],
      "word": "seicheamh uimhríochtúil"
    },
    {
      "code": "ga",
      "lang": "Irish",
      "sense": "sequence",
      "tags": [
        "masculine"
      ],
      "word": "seicheamh comhbhreise"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "progressione aritmetica"
    },
    {
      "alt": "とうさすうれつ",
      "code": "ja",
      "lang": "Japanese",
      "roman": "tōsa sūretsu",
      "sense": "sequence",
      "word": "等差数列"
    },
    {
      "alt": "さんじゅつすうれつ",
      "code": "ja",
      "lang": "Japanese",
      "roman": "sanjutsu sūretsu",
      "sense": "sequence",
      "word": "算術数列"
    },
    {
      "code": "lv",
      "lang": "Latvian",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "aritmētiskā progresija"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "sense": "sequence",
      "word": "تصاعد حسابی"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "sequence",
      "tags": [
        "masculine"
      ],
      "word": "ciąg arytmetyczny"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "sequence",
      "tags": [
        "masculine"
      ],
      "word": "postęp arytmetyczny"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "progressão aritmética"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "sequence",
      "word": "progresie aritmetică"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "sequence",
      "word": "serie aritmetică"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "arifmetíčeskaja progréssija",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "арифмети́ческая прогре́ссия"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "sequence",
      "tags": [
        "masculine"
      ],
      "word": "aritmetički niz"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "aritmetička progresija"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "sequence",
      "tags": [
        "common-gender"
      ],
      "word": "aritmetisk talföljd"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "sequence",
      "word": "bilnuring panisulong"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "aryfmetyčna prohresija",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "арифметична прогресія"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "arytmetyčna prohresija",
      "sense": "sequence",
      "tags": [
        "feminine"
      ],
      "word": "аритметична прогресія"
    }
  ],
  "word": "arithmetic progression"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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