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数列an,a1=4,Sn+S(n+1)=5/3an+1,an数列an,a1=4,Sn+S(n+1)=5(a(n+1))/3,求an

更新时间:2024-04-28 05:54:13
问题描述:

数列an,a1=4,Sn+S(n+1)=5/3an+1,an

数列an,a1=4,Sn+S(n+1)=5(a(n+1))/3,求an

李清权回答:

  Sn+S(n+1)=5(a(n+1))/3因为S(n+1)=SN+A(N+1)所以Sn+SN+A(N+1)=5a(n+1)/32SN=2a(n+1)/3SN=a(n+1)/3S(N-1)=AN/3SN-S(N-1)=a(n+1)/3-AN/3=ANa(n+1)/3=4AN/3a(n+1)=4AN(n≥2)a1+a1+a2=5a2/38=2a2/3a2=...