1st term = 3
2nd term = 9
3rd term = 81
4th term = 6561
求general term
general term
2014-10-31 5:26 am
回答 (1)
2014-10-31 7:06 am
✔ 最佳答案
T(1) = 3 = 3¹T(2) = 9 = 3²
T(3) = 81 = 9² = (3²)² = 3⁴
T(4) = 6561 = 81² = (9²)² = 9⁴ = (3²)⁴ = 3⁸
Consider T(n) = 3^F(n) where
F(1) = 1 = 2⁰
F(2) = 2 = 2¹
F(3) = 4 = 2²
F(4) = 8 = 2³
It is clearly F(n) = 2^(n - 1)
Therefore,
T(n) = 3^[2^(n - 1)]
See link:
http://www.wolframalpha.com/input/?i=3%5E(2%5E(n%20-%201))&t=crmtb01
收錄日期: 2021-04-15 17:08:49
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20141030000051KK00113