若数列an满足a1=0.5 an+1=an/5an+1 则an=?an+1为an的后一项

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若数列an满足a1=0.5an+1=an/5an+1则an=?an+1为an的后一项若数列an满足a1=0.5an+1=an/5an+1则an=?an+1为an的后一项若数列an满足a1=0.5an+

若数列an满足a1=0.5 an+1=an/5an+1 则an=?an+1为an的后一项
若数列an满足a1=0.5 an+1=an/5an+1 则an=?
an+1为an的后一项

若数列an满足a1=0.5 an+1=an/5an+1 则an=?an+1为an的后一项
1/a(n+1)=(5an+1)/an
1/a(n+1)=5an/an+1/an
1/a(n+1)-1/an=5
所以1/an是等差数列,d=5
所以1/an=1/a1+5(n-1)=5n-3
an=1/(5n-3)