(本小题满分14分) 已知等比数列的前项和= 数列的首项为,且前项

(本小题满分14分)

已知等比数列的前项和= 数列的首项为,且前项和满足=1().

(1)求数列的通项公式;

(2)求数列的通项公式;

(3)若数列{项和为,问>的最小正整数是多少? .   

答案

(本小题满分14分)

解:(1),

          又数列成等比数列, ,所以

又公比,所以   ;………….4分

(2)

∴数列是首项为1公差为1的等差数列.

 . ∴           ………….6分

 ;

();                    ………………………9分

(3)

       ;         ………………………12分

  由,故满足的最小正整数为126.

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