1/14*15+1/15*16+1/16*17+1/17*18

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1/14*15+1/15*16+1/16*17+1/17*18
1/14*15+1/15*16+1/16*17+1/17*18

1/14*15+1/15*16+1/16*17+1/17*18
1/(14*15)+1/(15*16)+1/(16*17)+1/(17*18)
=1/14-1/15+1/15-1/16+1/16-1/17+1/17-1/18
=1/14-1/18
=1/63