8/3*5+8/5*7+8/7*9+8/9*11……+8/23*25简便计算回答简单点,有分哦
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![8/3*5+8/5*7+8/7*9+8/9*11……+8/23*25简便计算回答简单点,有分哦](/uploads/image/z/436203-27-3.jpg?t=8%2F3%2A5%2B8%2F5%2A7%2B8%2F7%2A9%2B8%2F9%2A11%E2%80%A6%E2%80%A6%2B8%2F23%2A25%E7%AE%80%E4%BE%BF%E8%AE%A1%E7%AE%97%E5%9B%9E%E7%AD%94%E7%AE%80%E5%8D%95%E7%82%B9%2C%E6%9C%89%E5%88%86%E5%93%A6)
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8/3*5+8/5*7+8/7*9+8/9*11……+8/23*25简便计算回答简单点,有分哦
8/3*5+8/5*7+8/7*9+8/9*11……+8/23*25简便计算回答简单点,有分哦
8/3*5+8/5*7+8/7*9+8/9*11……+8/23*25简便计算回答简单点,有分哦
=4*(1/3-1/5-1/5-1/7+……+1/23-1/25)
=4*(1/3-1/25)
=88/75
原式=8(1/(3*5)+1/(5*7)+...+1/(23*25))=8[1/2(1/3-1/5)+1/2(1/5-1/7)+...+1/2(1/23-1/25)]
=4(1/3-1/25)=88/75