定義一種運算“*”對于正整數(shù)滿足以下運算性質(zhì):(1)

;(2)

,則
.
試題分析:設

,設

.則依題意

,

,即

.即數(shù)列

是公比為3的等比數(shù)列.所以

.
練習冊系列答案
相關(guān)習題
科目:高中數(shù)學
來源:不詳
題型:解答題
已知單調(diào)遞增的等比數(shù)列

滿足:

,且

是

、

的等差中項.
(1)求數(shù)列

的通項公式;
(2)設

,求數(shù)列

的前

項和

.
查看答案和解析>>
科目:高中數(shù)學
來源:不詳
題型:單選題
在等比數(shù)列

中,若

,

是方程

的兩根,則

的值是( )
查看答案和解析>>
科目:高中數(shù)學
來源:不詳
題型:填空題
若數(shù)列

滿足:

,則前6項的和
.(用數(shù)字作答)
查看答案和解析>>
科目:高中數(shù)學
來源:不詳
題型:單選題
在等比數(shù)列

中,

,則能使不等式

成立的最大正整數(shù)

是( )
查看答案和解析>>
科目:高中數(shù)學
來源:不詳
題型:填空題

為等比數(shù)列,若

和

是方程

+

+

=

的兩個根,則

=________.
查看答案和解析>>
科目:高中數(shù)學
來源:不詳
題型:單選題
已知數(shù)列{a
n},如果

是首項為1公比為2的等比數(shù)列,那么a
n=( )
A.2n+1-1 | B.2n-1 | C.2n-1 | D.2n +1 |
查看答案和解析>>
科目:高中數(shù)學
來源:不詳
題型:單選題
在各項均為正數(shù)的等比數(shù)列

中,

,則


( )
A.4 | B.6 | C.8 | D.8- |
查看答案和解析>>