求一道奥数计算题,要过称、1 1 1 1 1 1—+ — + — + —+ — + —42 56 72 90 110 132

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求一道奥数计算题,要过称、
1 1 1 1 1 1
—+ — + — + —+ — + —
42 56 72 90 110 132

1 1 1 1 1 1
—+ — + — + —+ — + —
42 56 72 90 110 132
=1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11+1/11-1/12
=1/6-1/12
=1/12

1/42+1/56+1/72+1/90+1/110+1/132
=1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11+1/11-1/10
=1/6-1/12
=1/12