设有数列{an},a1=,若以a1,a2,a3-an为系数的二次方程an-1x2-anx+1=0都有根α,β且满足 3α-α·β+3β=1 (1) 求证{an-}是等比数列; (2) 求通项公式an; (3) 求前n项和Sn 查看更多

 

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设有数列{an},a1=,若以a1a2a3,…,an为系数的二次方程an-1x2-anx+1=0都有根a b ,且满足3a -a b +3b =1

(1)求证{an-}是等比数列;

(2)求通项an

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设有数列{an},a1=,若以a1a2a3,…,an为系数的二次方程an-1x2-anx+1=0都有根a b ,且满足3a -a b +3b =1

(1)求证{an-}是等比数列;

(2)求通项an

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设有数列{an},a1=,若以a1a2a3,…,an为系数的二次方程an-1x2-anx+1=0都有根a b ,且满足3a -a b +3b =1.

(1)求证{an-}是等比数列;

(2)求通项an

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设有数列{an},a1=,若以a1a2a3,…,an为系数的二次方程an-1x2-anx+1=0都有根a b ,且满足3a -a b +3b =1.

(1)求证{an-}是等比数列;

(2)求通项an

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