(1+9/55)+(1+9/55×2)+(1+9/55×3)+……+(1+9/55×10)
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![(1+9/55)+(1+9/55×2)+(1+9/55×3)+……+(1+9/55×10)](/uploads/image/z/8801698-58-8.jpg?t=%281%2B9%2F55%29%2B%281%2B9%2F55%C3%972%29%2B%281%2B9%2F55%C3%973%29%2B%E2%80%A6%E2%80%A6%2B%281%2B9%2F55%C3%9710%29)
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(1+9/55)+(1+9/55×2)+(1+9/55×3)+……+(1+9/55×10)
(1+9/55)+(1+9/55×2)+(1+9/55×3)+……+(1+9/55×10)
(1+9/55)+(1+9/55×2)+(1+9/55×3)+……+(1+9/55×10)
原式=1×10+(1+2+……+10)/55
=10+(11×10/2)/55
=11