计算:1/(1*3)+1/(3*5)+1/(5*7)+…+1/(49*51).因为1/(1*2)=1-(1/2),1/(2*3)=(1/2)*(1/3),1/(3*4)=(1/3)-(1/4),……,1/(9*10)=(1/9)-(1/10).所以1/(1*2)+1/(2*3)+1/(3*4)+…+1/(9
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![计算:1/(1*3)+1/(3*5)+1/(5*7)+…+1/(49*51).因为1/(1*2)=1-(1/2),1/(2*3)=(1/2)*(1/3),1/(3*4)=(1/3)-(1/4),……,1/(9*10)=(1/9)-(1/10).所以1/(1*2)+1/(2*3)+1/(3*4)+…+1/(9](/uploads/image/z/129100-4-0.jpg?t=%E8%AE%A1%E7%AE%97%EF%BC%9A1%2F%EF%BC%881%2A3%EF%BC%89%2B1%2F%EF%BC%883%2A5%EF%BC%89%2B1%2F%EF%BC%885%2A7%EF%BC%89%2B%E2%80%A6%2B1%2F%EF%BC%8849%2A51%EF%BC%89.%E5%9B%A0%E4%B8%BA1%2F%EF%BC%881%2A2%EF%BC%89%3D1-%EF%BC%881%2F2%EF%BC%89%2C1%2F%EF%BC%882%2A3%EF%BC%89%3D%EF%BC%881%2F2%EF%BC%89%2A%EF%BC%881%2F3%EF%BC%89%2C1%2F%EF%BC%883%2A4%EF%BC%89%3D%EF%BC%881%2F3%EF%BC%89-%EF%BC%881%2F4%EF%BC%89%2C%E2%80%A6%E2%80%A6%2C1%2F%EF%BC%889%2A10%EF%BC%89%3D%EF%BC%881%2F9%EF%BC%89-%EF%BC%881%2F10%EF%BC%89.%E6%89%80%E4%BB%A51%2F%EF%BC%881%2A2%EF%BC%89%2B1%2F%EF%BC%882%2A3%EF%BC%89%2B1%2F%EF%BC%883%2A4%EF%BC%89%2B%E2%80%A6%2B1%2F%EF%BC%889)
计算:1/(1*3)+1/(3*5)+1/(5*7)+…+1/(49*51).因为1/(1*2)=1-(1/2),1/(2*3)=(1/2)*(1/3),1/(3*4)=(1/3)-(1/4),……,1/(9*10)=(1/9)-(1/10).所以1/(1*2)+1/(2*3)+1/(3*4)+…+1/(9
计算:1/(1*3)+1/(3*5)+1/(5*7)+…+1/(49*51).
因为1/(1*2)=1-(1/2),1/(2*3)=(1/2)*(1/3),1/(3*4)=(1/3)-(1/4),……,1/(9*10)=(1/9)-(1/10).所以1/(1*2)+1/(2*3)+1/(3*4)+…+1/(9*10)=1-(1/2)+(1/2)-(1/3)+(1/3)-(1/4)+…+(1/9)-(1/10).
是计算:1/(1*3)+1/(3*5)+1/(5*7)+…+1/(49*51)。
计算:1/(1*3)+1/(3*5)+1/(5*7)+…+1/(49*51).因为1/(1*2)=1-(1/2),1/(2*3)=(1/2)*(1/3),1/(3*4)=(1/3)-(1/4),……,1/(9*10)=(1/9)-(1/10).所以1/(1*2)+1/(2*3)+1/(3*4)+…+1/(9
25/51
因为1/(1*3)=(1/1-1/3)/2,1/(3*5)=(1/3-1/5)/2,1(5*7)=(1/5-1/7)/2...1(49*51)=(1/49-1/51)/2
所以1/(1*3)+1/(3*5)+1/(5*7)+…+1/(49*51)=(1-1/3+1/3-1/5+1/5...+1/49-1/51)
=(1-1/51)/2=25/51
楼上2个答案不对