1*2*3/1+2*3*4/1+3*4*5/1+.48*49*50/1简便算法 你刚才帮我算了一题帮帮我
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![1*2*3/1+2*3*4/1+3*4*5/1+.48*49*50/1简便算法 你刚才帮我算了一题帮帮我](/uploads/image/z/167061-21-1.jpg?t=1%2A2%2A3%2F1%2B2%2A3%2A4%2F1%2B3%2A4%2A5%2F1%2B.48%2A49%2A50%2F1%E7%AE%80%E4%BE%BF%E7%AE%97%E6%B3%95+%E4%BD%A0%E5%88%9A%E6%89%8D%E5%B8%AE%E6%88%91%E7%AE%97%E4%BA%86%E4%B8%80%E9%A2%98%E5%B8%AE%E5%B8%AE%E6%88%91)
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1*2*3/1+2*3*4/1+3*4*5/1+.48*49*50/1简便算法 你刚才帮我算了一题帮帮我
1*2*3/1+2*3*4/1+3*4*5/1+.48*49*50/1简便算法 你刚才帮我算了一题帮帮我
1*2*3/1+2*3*4/1+3*4*5/1+.48*49*50/1简便算法 你刚才帮我算了一题帮帮我
1/1*2*3+1/2*3*4+.+1/48*49*50
= 1/2 *[(3-1)/(1*2*3)+(4-2)/(2*3*4).+(50-48)/(48*49*50)]
=1/2 * [1/(1*2)-1/(2*3)+1/(2*3)-1/(3*4).+1/(48*49)-1/(49*50)]
=1/2*(1/2-1/2450)
=306/1225