以下數字的 general term 是什麼?

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[匿名]

2013-03-31 2:23 am

以下數字的 general term 是什麼?

(1) 1, 4, 7, 10, 13, 16, 19, 22, 25, ...

(2) 3, 8, 13, 18, 23, 28, 33, 38, ...

(3) 2, 4, 8, 16, 32, 64, 128, 256, ...

(4) 3, 9, 27, 81, 243, 729, 2187, ...

(5) 1, 3, 6, 10, 15, 21, 28, 36, 45, ...

(6) 1, 4, 9, 16, 25, 36, 49, 64, 81, ...

(7) 1, 8, 27, 64, 125, 216, 343, 512, 729, ...

更新1:

(8) 1,6,15,28,45,...

回答 (2)

NATALIE

2013-04-06 11:17 pm

✔ 最佳答案

1.T(n)=1+3(n-1)
2.T(n)=3+5(n-1)
3.T(n)=2ⁿ
4.T(n)=3ⁿ
5.T(n)=n(n+1)/2
6.T(n)=n²
7.T(n)=n³
8.T(n)=n(2n-1)

參考: me

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[匿名]

2013-03-31 2:50 am

(1) T(n)=1+3(n-1)=3n-2
(2) T(n)=3+5(n-1)=5n-2
(3) T(n)=2(2)^(n-1)=2^n
(4) T(n)=3^n
(5) T(n)=T(n-1)+n , where T(1-1)=T(0)=0
(6) T(n)=n^2
(7) T(n)=n^3

*n is starting from 1.
*2^n的意思是2的n次方. 其餘的如此類推.

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收錄日期: 2021-05-01 18:17:44
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20130330000051KK00247

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