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DLMF:1.2.E10 - MaRDI portal

DLMF:1.2.E10 (Q12)

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DLMF:1.2.E10
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    Statements

    DLMF defining formula
    a + ( a + d ) + ( a + 2 ⁢ d ) + … + ( a + ( n - 1 ) ⁢ d ) = n ⁢ a + 1 2 ⁢ n ⁢ ( n - 1 ) ⁢ d = 1 2 ⁢ n ⁢ ( a + ℓ ) , 𝑎 𝑎 𝑑 𝑎 2 𝑑 … 𝑎 𝑛 1 𝑑 𝑛 𝑎 1 2 𝑛 𝑛 1 𝑑 1 2 𝑛 𝑎 ℓ {\displaystyle{\displaystyle a+(a+d)+(a+2d)+\dots+(a+(n-1)d)=na+\tfrac{1}{2}n(% n-1)d=\tfrac{1}{2}n(a+\ell),}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1idec
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