1/4加1/28加1/70加省略号加4038088/1答案是多少?

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1/4加1/28加1/70加省略号加4038088/1答案是多少?

1/4加1/28加1/70加省略号加4038088/1答案是多少?
1/4加1/28加1/70加省略号加4038088/1答案是多少?

1/4加1/28加1/70加省略号加4038088/1答案是多少?
1/4+1/28+1/70+……+1/4038088
=(1-1/4+1/4-1/7+1/7-1/10+……+1/2008-1/2011)÷3
=(1-1/2011)÷3
=2010/2011÷3
=670/2011

用裂项法,只不过数太大了