第1018题:数列前n项和
已知数列 {ana_nan }的前 nnn 项和为SnS_nSn ,a1=1a_1=1a1=1 ,Sn=2an+1S_n=2a_{n+1}Sn=2an+1 ,则 Sn=?S_n=?Sn=?
A. (13)n−1\Big (\dfrac{1}{3} \Big ) ^ {n-1}(31)n−1
B. (23)n−1\Big (\dfrac{2}{3} \Big ) ^ {n-1}(32)n−1
C. (12)n−1\Big (\dfrac{1}{2} \Big ) ^ {n-1}(21)n−1
D. (32)n−1\Big (\dfrac{3}{2} \Big ) ^ {n-1}(23)n−1
利用 an=Sn−Sn−1 a_n=S_n - S_{n-1}an=Sn−Sn−1 列方程解.