"arithmetic series" meaning in English

{
  "forms": [
    {
      "form": "arithmetic series",
      "tags": [
        "plural"
      ]
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
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            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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      ],
      "glosses": [
        "The sum of the terms in an arithmetic progression."
      ],
      "id": "en-arithmetic_series-en-noun-DBw8bONX",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "term",
          "term"
        ],
        [
          "arithmetic progression",
          "arithmetic progression"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The sum of the terms in an arithmetic progression."
      ],
      "related": [
        {
          "word": "geometric series"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cs",
          "lang": "Czech",
          "sense": "the sum of the terms in an arithmetic progression",
          "tags": [
            "feminine"
          ],
          "word": "aritmetická řada"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "the sum of the terms in an arithmetic progression",
          "tags": [
            "common-gender"
          ],
          "word": "differensrække"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "the sum of the terms in an arithmetic progression",
          "word": "aritmeettinen sarja"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "sense": "the sum of the terms in an arithmetic progression",
          "tags": [
            "feminine"
          ],
          "word": "serie aritmética"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "the sum of the terms in an arithmetic progression",
          "word": "számtani sor"
        },
        {
          "code": "ja",
          "lang": "Japanese",
          "roman": "tōsakyūsū",
          "sense": "the sum of the terms in an arithmetic progression",
          "word": "等差級数"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "the sum of the terms in an arithmetic progression",
          "tags": [
            "masculine"
          ],
          "word": "aritmetički red"
        },
        {
          "code": "th",
          "lang": "Thai",
          "roman": "anú grom lâyk kánít",
          "sense": "the sum of the terms in an arithmetic progression",
          "word": "อนุกรมเลขคณิต"
        }
      ]
    }
  ],
  "word": "arithmetic series"
}

{
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      "form": "arithmetic series",
      "tags": [
        "plural"
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      "expansion": "arithmetic series (plural arithmetic series)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "geometric series"
    }
  ],
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        "Terms with Japanese translations",
        "Terms with Serbo-Croatian translations",
        "Terms with Thai translations",
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      "glosses": [
        "The sum of the terms in an arithmetic progression."
      ],
      "links": [
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          "mathematical analysis",
          "mathematical analysis"
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          "term",
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          "arithmetic progression",
          "arithmetic progression"
        ]
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      "raw_glosses": [
        "(mathematical analysis) The sum of the terms in an arithmetic progression."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "the sum of the terms in an arithmetic progression",
      "tags": [
        "feminine"
      ],
      "word": "aritmetická řada"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "the sum of the terms in an arithmetic progression",
      "tags": [
        "common-gender"
      ],
      "word": "differensrække"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the sum of the terms in an arithmetic progression",
      "word": "aritmeettinen sarja"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "sense": "the sum of the terms in an arithmetic progression",
      "tags": [
        "feminine"
      ],
      "word": "serie aritmética"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "the sum of the terms in an arithmetic progression",
      "word": "számtani sor"
    },
    {
      "code": "ja",
      "lang": "Japanese",
      "roman": "tōsakyūsū",
      "sense": "the sum of the terms in an arithmetic progression",
      "word": "等差級数"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "the sum of the terms in an arithmetic progression",
      "tags": [
        "masculine"
      ],
      "word": "aritmetički red"
    },
    {
      "code": "th",
      "lang": "Thai",
      "roman": "anú grom lâyk kánít",
      "sense": "the sum of the terms in an arithmetic progression",
      "word": "อนุกรมเลขคณิต"
    }
  ],
  "word": "arithmetic series"
}