问题 解答题

已知在等差数列{an}中,a1=12,a3=16.

(1)求通项an

(2)若数列{an}的前n项和Sn=242,求n.

答案

(1)∵数列{an}是等差数列,且a1=12,a3=16

∴a3-a1=2d=16-12=4

∴d=2

∴an=a1+(n-1)d=12+2(n-1)=2n+10

(2)Sn=

n(a1+an)
2
=
n(12+2n+10)
2
=n(n+11)=242

∴n=-22(舍)或n=11

∴n=11

单项选择题
完形填空

用括号里的单词将下列句子翻译成英文(共5小题,每题2分,共10分)

小题1:不用你费心为我克隆我的宠物猫了,我已不再指望它能复活。(bother oneself about; bring back to life)

                                                                             

                                                                              

小题2:她突然想到她把钥匙忘在家里了(occur to)

                                                                              

小题3:虽然我家离市中心很远,但没有空气污染和交通堵塞的问题。(nowhere near)

                                                                              

                                                                              

小题4:过了很长一段时间我才意识到自己的错误。(before)

                                                                              

小题5:要是他能早听医生的建议就好了。(if only)