设数列{an}前n项和为Sn,且a1=1,a(n+1)=1/3sn,n=1,2,3……,求a2+a4+a6+……+a2n
2个回答
a1=1,an=(1/2)x(4/3)^(n-2) n>=2则a2n=(1/2)x(4/3)^(2n-2) n=1,2,3,4,5.
则和为;(1/2)^nx[3x(4/3)^n-3]
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