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设数列{bn}满足:,bn+1=bn2+bn,(1)求证:;(2)若Tn=++…+,对任意...
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设数列{b
n}满足:
,b
n+1=b
n2+b
n,
(1)求证:
;
(2)若T
n=
+
+…+
,对任意的正整数n,3T
n-log
2m-5>0恒成立.求m的取值范围.
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设数列{bn}满足:,bn+1=bn2+bn,
(1)求证:;
(2)若Tn=++…+,对任意的正整数n,3Tn-log2m-5>0恒成立.求m的取值范围.
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设数列{an},{bn}的各项均为正数,若对任意的正整数n,都有an,bn2,an+1成等差数列,且bn2,an+1,bn+12成等比数列.
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(Ⅱ)如果a1=1,b1=,比较2n与2an的大小.