若数列{an}满足1/an+1-1/an=d(n为正整数d为常数),则称数列{an}为调和数列,已知数列{1/x}为调和数列,且x1+x2+…+x20=200则x5+x16=
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若数列{an}满足1/an+1-1/an=d(n为正整数d为常数),则称数列{an}为调和数列,已知数列{1/x}为调和数列,且x1+x2+…+x20=200则x5+x16=
若数列{an}满足1/an+1-1/an=d(n为正整数d为常数),则称数列{an}为调和数列,已知数列{1/x}为调和数列,且x1+x2+…+x20=200则x5+x16=
若数列{an}满足1/an+1-1/an=d(n为正整数d为常数),则称数列{an}为调和数列,已知数列{1/x}为调和数列,且x1+x2+…+x20=200则x5+x16=
由已知得,
数列{1/xn}为调和数列,则数列{xn}等差数列,
x1+x2+…+x20=200,则(x1+x20)=(x2+x19)=...=(x5+x16)=200/10=20
x1+x2+....+x20=20x1+190d=200,2x1+19d=20, x5+x16=2x1+19d=20
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