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已知数列{an},a1=1/3,Sn与an关系是Sn=n乘(2n-1)乘an,求{an}的通项公式
人气:334 ℃ 时间:2020-06-26 13:18:22
解答
由 S[n] - S[n-1] = a[n](其中[n]表示下标为n),可以得到a[n] = a[n-1] × (2n-3) ÷ (2n+1) =a[n-2] × (2n-3) × (2n-5) ÷ (2n+1) ÷ (2n-1) =a[n-3] × (2n-3) × (2n-5) × (2n-7) ÷ (2n+1)÷ (2n-1) ÷ (2n-...
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