1/1*2*3+1/2*3*4+.+1/48*49 - 知识问答

1/1*2*3+1/2*3*4+.+1/48*49*50=?要过程谢

1个回答

1/1*2*3+1/2*3*4+.+1/48*49*50
=(1/1*2-1/2*3+1/2*3-1/3*4+.+1/48*49-1/49*50)÷2
=(1/1*2-1/49*50)÷2
=(1/2-1/2450)÷2
=612/1225÷2
=306/1225

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