
1/2×5+1/3×5+1/8×11······﹢1/20×23
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1/2×5+1/8×5+1/8×11······﹢1/20×23
=1/3(1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/4+1/14-1/17.+1/17-1/20+1/20-1/23)
=1/3(1/2-1/23)
=7/46
=1/3(1/2-1/5+1/5-1/8+1/8-1/11+1/11-1/4+1/14-1/17.+1/17-1/20+1/20-1/23)
=1/3(1/2-1/23)
=7/46
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