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数列{an}的前n项和为Sn,如果a1=1/3 sn=n+2/3 *an a9=?
人气:329 ℃ 时间:2020-05-08 14:50:09
解答
sn=[(n+2)/3] an .(1)=>S(n-1)=[(n+1)/3]a(n-1).(2)(1)-(2)Sn-S(n-1)=[(n+2)/3] an -[(n+1)/3]a(n-1)=>an=[(n+2)/3] an -[(n+1)/3]a(n-1)=>[(n+1)/3]a(n-1)={[(n+2)/3] -1}an =[(n-1)/3]an=>an=[(n+1)/(n-1)a(n-1)=>...an=[(n+2)/3] an -[(n+1)/3]a(n-1)这一步到下面的=>[(n+1)/3]a(n-1)={[(n+2)/3] -1}an =[(n-1)/3]an=>an=[(n+1)/(n-1)a(n-1)看不懂Sn-S(n-1)=anan=[(n+2)/3] an -[(n+1)/3]a(n-1)这一步懂,=>[(n+1)/3]a(n-1)={[(n+2)/3] -1}an =[(n-1)/3]an=>an=[(n+1)/(n-1)a(n-1)看不懂移项合并
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