题目内容
已数列满足a1 = 1,a2 = 3,,.
(1) 证明:数列为等比数列;
(2) 求数列的通项公式;
(3) ,的前n项和为,求证.
(1) 证明:数列为等比数列;
(2) 求数列的通项公式;
(3) ,的前n项和为,求证.
21.(1) 令得
又
∴为等比数列········································································· 3分
(2)
又
∴··································································· 7分
(3)
∴····· 12分
又
∴为等比数列········································································· 3分
(2)
又
∴··································································· 7分
(3)
∴····· 12分
略
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