DLMF:1.2.E10} (Q39): Difference between revisions

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imported>Admin
 
imported>Admin
 
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1idec

Latest revision as of 15:46, 1 January 2020

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DLMF:1.2.E10}
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    Statements

    a + ( a + d ) + ( a + 2 d ) + + ( a + ( n - 1 ) d ) = n a + 1 2 n ( n - 1 ) d = 1 2 n ( a + ) , 𝑎 𝑎 𝑑 𝑎 2 𝑑 𝑎 𝑛 1 𝑑 𝑛 𝑎 1 2 𝑛 𝑛 1 𝑑 1 2 𝑛 𝑎 {\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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    Warning: Falling back to standard tex;
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1idec
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