摘要: (n∈N*) 12.978 13. 14.
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(2013•东城区二模)在数列{an}中,若对任意的n∈N*,都有
-
=t(t为常数),则称数列{an}为比等差数列,t称为比公差.现给出以下命题:
①等比数列一定是比等差数列,等差数列不一定是比等差数列;
②若数列{an}满足an=
,则数列{an}是比等差数列,且比公差t=
;
③若数列{cn}满足c1=1,c2=1,cn=cn-1+cn-2(n≥3),则该数列不是比等差数列;
④若{an}是等差数列,{bn}是等比数列,则数列{anbn}是比等差数列.
其中所有真命题的序号是( )
| an+2 |
| an+1 |
| an+1 |
| an |
①等比数列一定是比等差数列,等差数列不一定是比等差数列;
②若数列{an}满足an=
| 2n-1 |
| n2 |
| 1 |
| 2 |
③若数列{cn}满足c1=1,c2=1,cn=cn-1+cn-2(n≥3),则该数列不是比等差数列;
④若{an}是等差数列,{bn}是等比数列,则数列{anbn}是比等差数列.
其中所有真命题的序号是( )
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设数列{an}满足a1+2a2=3,且对任意的n∈N*,点Pn(n,an)都有
=(1,2),则{an}的前n项和Sn为( )
| PnPn+1 |
A、n(n-
| ||
B、n(n-
| ||
C、n(n-
| ||
D、n(n-
|