设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成...设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成等差数列.求{an}的通项公式,
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![设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成...设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成等差数列.求{an}的通项公式,](/uploads/image/z/2449624-40-4.jpg?t=%E8%AE%BE%E6%95%B0%E5%88%97%7Ban%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BASn%2C%E5%85%B6%E4%B8%ADan%E4%B8%8D%E7%AD%89%E4%BA%8E0%2Ca1%E4%B8%BA%E5%B8%B8%E6%95%B0%2C%E4%B8%94%E4%B8%80a1%2CSn%2Can%E5%8D%811%E6%88%90...%E8%AE%BE%E6%95%B0%E5%88%97%7Ban%7D%E7%9A%84%E5%89%8Dn%E9%A1%B9%E5%92%8C%E4%B8%BASn%2C%E5%85%B6%E4%B8%ADan%E4%B8%8D%E7%AD%89%E4%BA%8E0%2Ca1%E4%B8%BA%E5%B8%B8%E6%95%B0%2C%E4%B8%94%E4%B8%80a1%2CSn%2Can%E5%8D%811%E6%88%90%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97.%E6%B1%82%7Ban%7D%E7%9A%84%E9%80%9A%E9%A1%B9%E5%85%AC%E5%BC%8F%2C)
设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成...设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成等差数列.求{an}的通项公式,
设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成...
设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成等差数列.求{an}的通项公式,
设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成...设数列{an}的前n项和为Sn,其中an不等于0,a1为常数,且一a1,Sn,an十1成等差数列.求{an}的通项公式,
由一a1,Sn,an十1成等差数
得2Sn=-a1+(an+1)
又an=Sn-S(n-1)(*下标)
所以2an=-a1+(an+1)-(-a1+a(n-1)+1)
2an=an-a(n-1)
an=-a(n-1)
令n=1
得2S1=-a1+a1+1,所以a1=1/2
an=(1/2)*(-1)^(n-1)
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