consider th sequence -3,9,-27....
A..write down the 5th term
B..write down the general term ,hence the 100th term
vaction exercise Maths.F.1
2009-07-24 5:33 am
回答 (2)
2009-07-24 5:43 am
✔ 最佳答案
A:
1 st term = -3
2 nd term = (-3)^2= 9
3 rd term = (-3)^3 = -27
So the 5th term = (-3)^5 = -243
B:
the general term :
The n term = (-3)^n
the 100th term = (-3)^100
2009-07-24 6:04 am
A.
1st term:-3 [ 1 x (-3)^1 ]
2nd term:9 [1 x (-3)^2 ]
3rd term:-27 [1 x (-3)^3 ]
4th term:81 [1 x (-3)^4 ]
5th term:-243 [1 x (-3)^5 ]
B.
The general term:
Let the general term be the n(th) term:
n(th) term: 1 x (-3)^n
=(-3)^n
The 100th term is: 1 x (-3)^100
=(-3)^100
1st term:-3 [ 1 x (-3)^1 ]
2nd term:9 [1 x (-3)^2 ]
3rd term:-27 [1 x (-3)^3 ]
4th term:81 [1 x (-3)^4 ]
5th term:-243 [1 x (-3)^5 ]
B.
The general term:
Let the general term be the n(th) term:
n(th) term: 1 x (-3)^n
=(-3)^n
The 100th term is: 1 x (-3)^100
=(-3)^100
收錄日期: 2021-04-21 22:01:34
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090723000051KK02072