1*(1/2)+3*(1/4)+5*(1/8)+.+(2n-1+1/2^n) “*”代表“又”代表是带分数.求和
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1*(1/2)+3*(1/4)+5*(1/8)+.+(2n-1+1/2^n)“*”代表“又”代表是带分数.求和1*(1/2)+3*(1/4)+5*(1/8)+.+(2n-1+1/2^n)“*”代表“又
1*(1/2)+3*(1/4)+5*(1/8)+.+(2n-1+1/2^n) “*”代表“又”代表是带分数.求和
1*(1/2)+3*(1/4)+5*(1/8)+.+(2n-1+1/2^n)
“*”代表“又”代表是带分数.求和
1*(1/2)+3*(1/4)+5*(1/8)+.+(2n-1+1/2^n) “*”代表“又”代表是带分数.求和
a=1*(1/2)+3*(1/4)+5*(1/8)+.+(2n-3)*1/2^(n-1)+(2n-1)*1/2^n
2a=1*1+3*(1/2)+5*(1/4)+.+(2n-1)*1/2^(n-1)
相减
2a-a=a=1+2*(1/2)+2*(1/4)+……+2*1/2^(n-1)-(2n-1)*1/2^n
2*(1/2)+2*(1/4)+……+2*1/2^(n-1)
=2*(1/2)*[1-(1/2)^(n-1)]/(1-1/2)
=2-1/2^(n-2)
所以原式=1+2-1/2^(n-2)-(2n-1)*1/2^n
=3-4*1/2^n-(2n-1)*1/2^n
=3-(2n+3)*1/2^n
1.(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)=2.(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)=
(1+2/1)(1+4/1)(1+6/1).(1+10/)(1-3/1)(1—5/1).(1-9/1)
计算 ( 1+1/2)*(1-1/3)*(1+1/4)*(1-1/5)*.*(1+1/1000)*(1-1/1001)
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(1+1/2+1/3+1/4)乘以(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)乘以(1/2+1/3+1/4)简算
一道奥数题,急救!(1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)×(2+1/3+1/4)
(1-1/2)*(1/3-1)*(1-1/4)*(1/5-1)…(1/2009-1)*(1-1/2010)等于多少
(1-2/1)3/1-1)(1-4/1)(5/1-1)…(2009/1-1)(1-2010/1)等于几?
计算:(1+1/2)×(1-1/3)×(1+1/4)×(1-1/5)×.×(1+1/1000)×(1-1/1001)
计算:(1-1/2)(1/3-1)(1-1/4)(1/5-1)……(1-1/2010)(1/2011-1)
(2*3*4*5)*(1/2-1/3-1/4-1/5)
(1/2+1/3+1/4+1/5+1/6+.+1/2013)*(1+1/2+..+1/2012)-(1+1/2+1/3+1/4+...+1/2013)*(1/2+.+1/2012)(1/2+1/3+1/4+1/5+1/6+...+1/2013)*(1+1/2+1/3+1/4...+1/2012)-(1+1/2+1/3+1/4+...+1/2013)*(1/2+1/3+1/4+...+1/2012)
1/2 + 1/6 + 1/12 + 1/20 + 1/30+ 1/42 + 1/56 + 1/72=(1+ 1/2+ 1/3+ 1/4+ 1/5)×(1/2+ 1/3+ 1/4+ 1/5+ 1/6)-(1+ 1/2+ 1/3+ 1/4+1/5+ 1/6)×(1/2+ 1/3+ 1/4+ 1/5)
|-5 1/2|×(1/3-1/2)×3/11÷(1-1/4)
几道巧算题、求解答啊啊、急【1+(1/2)+(1/3)+(1/4)】*【(1/2)+(1/3)+(1/4)+(1/5) 】-【1+(1/2)+(1/3)+(1/4)+(1/5)】*【(1/2)+(1/3)+(1/4)】【1+(1/2)】*【1+(1/4)】*【1+(1/6)】·····【1+(1/10)】*【1-
1/2*1/3+1/3*1/4+1/4*1/5+1/5*1/6 (简便方法)
(1+1/2+1/3+1/4)×(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)×(1/2+1/3+1/4)
(1+1/2+1/3+1/4)乘(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)乘(1/2+1/3+1/4)