如果数列{an}满足a1=3,1/a(n+1)-1/an=5,求{an}
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如果数列{an}满足a1=3,1/a(n+1)-1/an=5,求{an}
如果数列{an}满足a1=3,1/a(n+1)-1/an=5,求{an}
如果数列{an}满足a1=3,1/a(n+1)-1/an=5,求{an}
令
bn=1/an,a1=3 b1=1/3
1/a(n+1)-1/an=5,
那么{bn}是等差数列
bn=b1+5(n-1)=5n-5 + 1/3=(15n-14)/3
所以an=1/bn=3/(15n-14)
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