2/(1*2*3)+2/(2*3*4)+2/(3*4*5)+...+2/(98*99*100) (简便计算)
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咨询记录 · 回答于2022-07-06
2/(1*2*3)+2/(2*3*4)+2/(3*4*5)+...+2/(98*99*100) (简便计算)
2/(1*2*3)+2/(2*3*4)+2/(3*4*5)+...+2/(98*99*100) (简便计算)2/1*2*3+2/2*3*4+2/3*4*5+......+2/98*99*100=1/1×2-1/2×3+1/2×3-1/3×4+……+1/98×99-1/99×100=1/1×2-1/99×100=1/2-1/9900=4949/9900