若等比数列{an}满足a2+a4=20,a3+a5=40,则公比q=______________;前n项和Sn=______________.

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问题 若等比数列{an}满足a2+a4=20,a3+a5=40,则公比q=______________;前n项和Sn=______________.

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答案2;2n+1一2

解析 由题意知q==2.由a2+a4=a2(1+q2)=a1q(1+q2)=20,∴a1=2.∴Sn==2n+1一2.
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