1/(3*7)+1/(7*11)+1/(11*15)+.+1/(55*59)等于多少?如题.

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1/(3*7)+1/(7*11)+1/(11*15)+.+1/(55*59)等于多少?如题.
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1/(3*7)+1/(7*11)+1/(11*15)+.+1/(55*59)等于多少?如题.
1/(3*7)+1/(7*11)+1/(11*15)+.+1/(55*59)等于多少?
如题.

1/(3*7)+1/(7*11)+1/(11*15)+.+1/(55*59)等于多少?如题.
1/(3*7)+1/(7*11)+1/(11*15)+.+1/(55*59) =1/4(1/3-1/7+1/7-1/11+1/11-1/15+.+1/55-1/59) =1/4(1/3-1/59) =1/4(56/177) =14/177