幾易既Maths question: Geometric Sequences ( 5點分 )

2007-04-17 8:23 pm
the first term a = - 0.25
the common ratio R = - 4

Find the general term

答案係 ( - 1 )^n 4^n-2

我唔明白點解無啦啦有( - 1 )^n 走左出黎><"

解釋時請詳細點及show your steps pls~

回答 (1)

2007-04-17 10:47 pm
✔ 最佳答案
the first term a = - 0.25
the common ratio R = - 4

The general term
=aR^(n-1)
=(-0.25)(-4)^(n-1)
=(-1/4)(-4)^(n-1)
=(-1)(1/4)(-1)^(n-1)[(4)^(n-1)]
=(-1)^n 4^n-2
因為(-4)^(n-1) 代表 (-1)^(n-1) 乘以 (4)^(n-1)
(-1)^(n-1) 再乘以 -1 就得到 ( - 1 )^n


收錄日期: 2021-04-13 00:22:18
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070417000051KK01157

檢視 Wayback Machine 備份