17解:(1)设等比数列{an}的公比为q(q>0),由题意得a+a6=6a;整理得q+q2=6解得q=2或q=-3(舍去又所以所以lo+(5分)(2)由题意得Sn="(61+b,)n[1+(2n=1)所以c2(n+1所以T=2(1-1+1_1(10分

书面表达One possible version:Dear Jack,I am happy to know that you are to spend some time in China. I recommend you stay in Beijing, the capital andcultural center of China.First of all, there are a lot of museums where precious relics of historical interest are waiting for you toexplore. Besides, the exceptional Peking Opera performances there are also what you can t miss. And the city isalso best known for its abundance of ancient buildings, which are still well preserved.I hope that you will have a good time in China.Yours sincerely,Li Hua

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