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DLMF:1.2.E11 - MaRDI portal

DLMF:1.2.E11 (Q13)

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DLMF:1.2.E11
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    Statements

    DLMF defining formula
    a + a ⁢ x + a ⁢ x 2 + … + a ⁢ x n - 1 = a ⁢ ( 1 - x n ) 1 - x , 𝑎 𝑎 𝑥 𝑎 superscript 𝑥 2 … 𝑎 superscript 𝑥 𝑛 1 𝑎 1 superscript 𝑥 𝑛 1 𝑥 {\displaystyle{\displaystyle a+ax+ax^{2}+\dots+ax^{n-1}=\frac{a(1-x^{n})}{1-x}% ,}}
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    comment
    Warning: Falling back to standard tex;
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    constraint
    x ≠ 1 𝑥 1 {\displaystyle{\displaystyle x\not=1}}
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    Symbols used
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1jdec
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    Identifiers

     
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