1/2-1=-(1/2)、1/3-1/2=-(1/6)……(1)依照上述规律,计算-(1/2)-1/6-1/12-……-1/90.
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![1/2-1=-(1/2)、1/3-1/2=-(1/6)……(1)依照上述规律,计算-(1/2)-1/6-1/12-……-1/90.](/uploads/image/z/4311212-68-2.jpg?t=1%2F2-1%3D-%EF%BC%881%2F2%EF%BC%89%E3%80%811%2F3-1%2F2%3D-%EF%BC%881%2F6%EF%BC%89%E2%80%A6%E2%80%A6%EF%BC%881%EF%BC%89%E4%BE%9D%E7%85%A7%E4%B8%8A%E8%BF%B0%E8%A7%84%E5%BE%8B%2C%E8%AE%A1%E7%AE%97-%EF%BC%881%2F2%EF%BC%89-1%2F6-1%2F12-%E2%80%A6%E2%80%A6-1%2F90.)
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1/2-1=-(1/2)、1/3-1/2=-(1/6)……(1)依照上述规律,计算-(1/2)-1/6-1/12-……-1/90.
1/2-1=-(1/2)、1/3-1/2=-(1/6)……(1)依照上述规律,计算-(1/2)-1/6-1/12-……-1/90.
1/2-1=-(1/2)、1/3-1/2=-(1/6)……(1)依照上述规律,计算-(1/2)-1/6-1/12-……-1/90.
-(1/2)-1/6-1/12-……-1/90=1/2-1+1/3-1/2+.+1/10-1/9=-1+1/10=-9/10
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1-1/2+1/3-1/4+.+1/(2n-1)-1/2n=1/(n+1)+1/(n+2)+1/(3+n).+1/2n
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)=
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(1+1/2)×(1-1/2)×(1+1/3)×(1-1/3)×...×(1+1/99)×(1-1/99)=?
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1+1+1+2+2+3=()
Sn=(1+1)/2+(2+1)/2^2+(3+1)/2^3+``````+(n+1)/2^n=?
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(1/2013-1)(1/2012-1)(1/2011-1)…(1/3-1)(1/2-1)=
数列 1+(1+2)+(1+2+3)+(1+2+3+4)+.+(1+2+3+...+2009)=?
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(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15=?