(本小题满分14分)已知公差大于零的等差数列{
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}的前n项和为
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,且满足
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,
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.
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⑴求通项
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;
⑵若数列
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是等差数列,且
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,求非零常数c;
⑶比较
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(
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)的大小.
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,
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,>
⑴ {
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}为等差数列,∵
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,
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, …………1分
∴
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是方程
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的两实根,又∵
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,∴
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,
解得
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,
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∴
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, …………3分
解得
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,
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. …………4分
⑵由⑴知
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, …………5分
∴

∴
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,

,
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; …………7分
∵{
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}是等差数列,∴

解得
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(
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舍去). ……8分
⑶由⑵得
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
, …………9分
∴

,
…………12分
当且当
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即
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时取等号,∴

. …………14分
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