
(2+8+10+12+14+……+102)—(5+7+9+11+13+……+101)=
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2020-07-15 · 知道合伙人教育行家
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(2+8+10+12+14+……+102) - (5+7+9+11+13+……+101)
= 2+(8+10+12+14+……+102) - 5 - (7+9+11+13+……+101)
= 2 - 5 + (8-7)+(10-9)+(12-11)+(14-13)+......(102-101)
= 2 - 5 +1×[(102-8)÷2+1]
= 2 - 5 + 48
= 45
= 2+(8+10+12+14+……+102) - 5 - (7+9+11+13+……+101)
= 2 - 5 + (8-7)+(10-9)+(12-11)+(14-13)+......(102-101)
= 2 - 5 +1×[(102-8)÷2+1]
= 2 - 5 + 48
= 45
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