(本小题满分13分) 设数列的各项为正数,前项和为,且. (Ⅰ)求数列的

(本小题满分13分)

设数列的各项为正数,前项和为,且.

(Ⅰ)求数列的通项公式;

(Ⅱ)记,若,求正整数的最小值.

答案

解:(Ⅰ)由,平方得,∴.

两式相减得,整理得

.∵,∴,即.

又∵当时,,∴

.                                …………………………7分

(Ⅱ) ∵. …………………………10分

,解得

∴正整数的最小值为5.                    …………………………13分

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