(1/3)-(1/6)-(1/12)-(1/20)-(1/30)-(1/42)

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(1/3)-(1/6)-(1/12)-(1/20)-(1/30)-(1/42)

(1/3)-(1/6)-(1/12)-(1/20)-(1/30)-(1/42)
(1/3)-(1/6)-(1/12)-(1/20)-(1/30)-(1/42)

(1/3)-(1/6)-(1/12)-(1/20)-(1/30)-(1/42)
(1/3)-(1/6)-(1/12)-(1/20)-(1/30)-(1/42)
=1/3-[(1/6)+(1/12)+(1/20)+(1/30)+(1/42)]
=1/3-[1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6]
=1/3-[1/2-1/6]
=1/3-[3/6-1/6]
=1/3-2/6
=1/3-1/3
=0