问题
解答题
已知等差数列{an}的前n项和为Sn,且a3=5,S6=36. (Ⅰ)求数列{an}的通项an; (Ⅱ)设bn=2
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答案
(Ⅰ)由
解得a3=a1+2d=5 s6=6a1+15d=36 a1=1 d=2
∴an=1+(n-1)d
(Ⅱ)bn=2n
∴{bn}是以2为首项,2为公比的等比数列
∴Tn=b1+b2++bn=2+22+23++2n=2n+1-2
已知等差数列{an}的前n项和为Sn,且a3=5,S6=36. (Ⅰ)求数列{an}的通项an; (Ⅱ)设bn=2
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(Ⅰ)由
解得a3=a1+2d=5 s6=6a1+15d=36 a1=1 d=2
∴an=1+(n-1)d
(Ⅱ)bn=2n
∴{bn}是以2为首项,2为公比的等比数列
∴Tn=b1+b2++bn=2+22+23++2n=2n+1-2