题目内容
设{an}是等比数列,公比为q,则下列数列
(1){anan+1};(2){an+an+1};(3){an-an-1};(4){an2};(5){};(6){an+3}中,等比数列的个数是( )
(1){anan+1};(2){an+an+1};(3){an-an-1};(4){an2};(5){};(6){an+3}中,等比数列的个数是( )
A.3 | B.4 | C.5 | D.6 |
A
(1){anan+1}是首项为a1a2,公比为q2的等比数列;(2)当q≠1时,{an+an+1}是等比数列,但q=-1时,{an+an+1}不是等比数列;(3)当q≠1时,{an-an-1}是等比数列,但q=1时,{an-an-1}不是等比数列;(4){an2}是首项为a12,公比为q2的等比数列;(5){}是首项为,公比为的等比数列;(6)仅当q=1时,{an+3}是常数列,是等比数列,但当q≠1时,则不是等比数列.
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