(1+3+5+7+·····+99+101)—(2+4+6+8+····+98+100)

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(1+3+5+7+·····+99+101)—(2+4+6+8+····+98+100)

(1+3+5+7+·····+99+101)—(2+4+6+8+····+98+100)
(1+3+5+7+·····+99+101)—(2+4+6+8+····+98+100)

(1+3+5+7+·····+99+101)—(2+4+6+8+····+98+100)
(1+3+5+...+99+101)-(2+4+...+98+100)
=1+(3-2)+(5-4)+...+(99-98)+(101-100)
=1+(1+...+1).(50个1)
=1+50
=51

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