数列{an}的通项公式满足a1=1,an+1=n/n+1xan,求an.急用!

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数列{an}的通项公式满足a1=1,an+1=n/n+1xan,求an.急用!数列{an}的通项公式满足a1=1,an+1=n/n+1xan,求an.急用!数列{an}的通项公式满足a1=1,an+1

数列{an}的通项公式满足a1=1,an+1=n/n+1xan,求an.急用!
数列{an}的通项公式满足a1=1,an+1=n/n+1xan,求an.急用!

数列{an}的通项公式满足a1=1,an+1=n/n+1xan,求an.急用!
an+1/an=n/n+1
所以an+1=an+1/an*an/an-1*……*a2/a1*a1=n/n+1*n-1/n*……*1/2*1=1/n+1
所以an=1/n (n>1) an=1 (n=1)