1/2+1/6+1/12+1/20+.+1/2450得数
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![1/2+1/6+1/12+1/20+.+1/2450得数](/uploads/image/z/11628158-14-8.jpg?t=1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B.%2B1%2F2450%E5%BE%97%E6%95%B0)
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1/2+1/6+1/12+1/20+.+1/2450得数
1/2+1/6+1/12+1/20+.+1/2450得数
1/2+1/6+1/12+1/20+.+1/2450得数
1/2+1/6+1/12+1/20+.+1/2450
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/49-1/50
=1-1/50
=49/50
49/50
原式=1/(1*2)+1/(2*3)+1/(3*4)+......+1/(49*50)
=1-1/2+1/2-1/3+1/3-1/4+......+1/49-1/50
=1-1/50
=49/50