(本小题满分12分) 已知正项数列中,,点在函数的图象上,数列的前n

(本小题满分12分)

已知正项数列中,,点在函数的图象上,数列的前n项和.

(Ⅰ)求数列的通项公式;

(Ⅱ)设,求的前n项和.

答案

解:(Ⅰ)在函数图象上,

数列是公差为1的等差数列.

                 …………………… 2分

两式相减得:

,得.

数列是首项为1,公比为的等比数列,

     ………………………………………………………6分

(Ⅱ)  ……………8分

……………………………………………………………12分

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