F.3 Mathematics...

2010-09-08 1:52 am
It is about Laws of integral indices..

Question:

3^n+1 - 3^n-1 / 2× 3^n

Thank you very much if you solve this question!!

回答 (1)

2010-09-08 2:00 am
✔ 最佳答案
[3^(n+1) - 3^(n-1)] / [2(3^n)]

= (3^n) (3 - 3^-1) / [2(3^n)]

= (3 - 3^-1) / 2

= (3 - 1/3) / 2

= (2/3)/2

= 1/3

2010-09-07 18:16:33 補充:
Corrections :

[3^(n+1) - 3^(n-1)] / [2(3^n)]

= (3^n) (3 - 3^-1) / [2(3^n)]

= (3 - 3^-1) / 2

= (3 - 1/3) / 2

= (9/3 - 1/3) / 2

= (8/3) / 2

= 4/3

Sorry!!


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