题目内容


已知数列是首项的等比数列,其前项和成等差数列,

(1)求数列的通项公式;

(2)设,若,求证:


解:(1)若,则显然不构成等差数列.

,                                     

时,由成等差数列得

    ∴           

                                                                

 ∴    

                                                                  

(2)∵            

                                                                   

                                                                   

是递增数列.

                                                                    

.                                                                                                                


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