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(本小题满分12分)已知函数，数列满足条件：． (1)求证：数列为等比数列； (...

(本小题满分12分)已知函数6ec8aac122bd4f6e，数列6ec8aac122bd4f6e满足条件：6ec8aac122bd4f6e．

(1)求证：数列6ec8aac122bd4f6e为等比数列；

(2)令6ec8aac122bd4f6e是数列6ec8aac122bd4f6e的前6ec8aac122bd4f6e项和，求使6ec8aac122bd4f6e成立的最小的6ec8aac122bd4f6e值．

 

【解析】 (1) 证明：由题意得，∴ ························· 3分 又 ∵     ∴ ················································································ 4分 故数列{bn + 1}是以1为首项，2为公比的等比数列·············································· 5分 (2) 由 (1) 可知，，∴ ·········································· 7分 故················································ 9分 ∴ ············································ 10分 由，且，解得满足条件的最小值为10········································· 12分 【解析】略
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