17.(12分)解:(1){an}是等差数列,设其公差为d1分2=a2+8因为a2+1=a2+8n,所以分a3=a2+162a1d+d2=8,所以3分2a1d+3d=16,解得或d2(舍4分所以an=1+(n-1)×2=2n-1,,,·,,,,,,.,,5分即{an}的通项公式为an=2n6分(2)由(1)知2…=22-1.………………………………………………………………7分即2=÷×4"··,·,·,·,,·,,·,,,,,·,,、,·,·,·,···,·,,,·,·,,,,,·,·,,·,·,·,,,·,·,,,,·,,8分所以S。=21+22+…+22×(4+42+…+4")……9分4(1-4”)10分2(4"-1)11分所以S=2(4-1)3…12分另解:(1){an}是等差数列,设其公差为d1分因为a2+1=a2+8n,所以(an+1+an)(an+1-an)=8n得(2a1+2nd-d)d=8n2分所以2d2n+(2a1-d)d=8n,………………………………………3分2d2=8,所以4分2a1-d)d=0,解得或(舍)·,·,··,·,·,·,·,·,·,·,·,·,·,,·,·,·,·,···,·,,·,·,·5分d=2d=-2所以an=1+(n-1)×2=2n-1.即{an}的通项公式为an=2n-1446分(2)由(1)得2=2-1.7分即224”8分所以S=21+2+…+2=÷×(4+42+…+4")……9分4(1-4”)1-4……………………………………………………………10分2(4"-1)11分所以S=2(4-112分

Paragraph 1:Thinking of this, I told him,"Sir, you please have your tea, I am not in a hurry. " This gentleman, whohad worked in the bank for so many years, suddenly Iooked up at me and for the first time we had eye contact-he had never made eye contact earlier. I saw a different person there. He gave me a rare smile and saidIt is an everyday affair with me, you are not in a hurry but somebody else will come who will be in a hurry【表面上像机器人的同事也有自己的思绪】Paragraph 2What he said really touched my heart. I felt that all this time I thought of him as a robot, someone who wasthere for my convenience, but today I suddenly felt astrange bond with him.【高分句型-】| promised tobe more friendly with people who help me with my work and be thankful that they are there for me.【高分句型二】. our life, we need to put ourselves in otherpeople's shoes to imagine their thoughts. In this way, we can understand others better.【作者对同事的话有所咸悟】

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