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在数列{an}中,如果对任意的n∈N*,都有(λ为常数),则称数列{an}为比等...
在数列{a
n}中,如果对任意的n∈N
*,都有
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101431417521780/SYS201311031014314175217016_ST/0.png)
(λ为常数),则称数列{a
n}为比等差数列,λ称为比公差.现给出以下命题,其中所有真命题的序号是
.
①若数列{F
n}满足F
1=1,F
2=1,F
n=F
n-1+F
n-2(n≥3),则该数列不是比等差数列;
②若数列{a
n}满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101431417521780/SYS201311031014314175217016_ST/1.png)
,则数列{a
n}是比等差数列,且比公差λ=2;
③等差数列是常数列是成为比等差数列的充分必要条件;
(文)④数列{a
n}满足:
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101431417521780/SYS201311031014314175217016_ST/2.png)
,a
1=2,则此数列的通项为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101431417521780/SYS201311031014314175217016_ST/3.png)
-1,且{a
n}不是比等差数列;
(理)④数列{a
n}满足:a
1=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101431417521780/SYS201311031014314175217016_ST/4.png)
,且a
n=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101431417521780/SYS201311031014314175217016_ST/5.png)
,则此数列的通项为a
n=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101431417521780/SYS201311031014314175217016_ST/6.png)
,且{a
n}不是比等差数列.
考点分析:
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