(a) 1, 4, 8, 13, 19, 26
(b) 2^2-6, 2^3-7, 2^4-8, 2^5-9, 2^6-10, 2^7-11
(c) 1, 1, 0, 1, -1, 2
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更新1:
其實我係睇得明架．．． 不過就係唔知點寫好．．． 唔該可唔可以寫番個答案？？ ｔｈｘ～
數學題１條．．．
2007-02-21 9:17 pm
Find the number pattern of the following numbers.
(a) 1, 4, 8, 13, 19, 26
(b) 2^2-6, 2^3-7, 2^4-8, 2^5-9, 2^6-10, 2^7-11
(c) 1, 1, 0, 1, -1, 2
ｔｈｘ～
(a) 1, 4, 8, 13, 19, 26
(b) 2^2-6, 2^3-7, 2^4-8, 2^5-9, 2^6-10, 2^7-11
(c) 1, 1, 0, 1, -1, 2
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回答 (2)
2007-02-21 9:56 pm
✔ 最佳答案
(a)T(1) = 1
T(2) = 1 + 3
T(3) = 1 + 3 + 4
T(4) = 1 + 3 + 4 + 5
...
In general, it can be noted that
T(n)
= [1 + 2 + 3 + 4 + ....... + (n+1)] - 2 for n = 1,2,3,....
= [(n+1)(n+2)]/2 - 2
= (n^2 +3n - 2)/2
*****************
(b)
T(n) = 2^(n+1) - (n+5)
******************
(c)
It can be imagined as a sequence on the number line oscillating from 1 with an increasing magnitude.
2007-02-21 9:44 pm
參考: me
收錄日期: 2021-05-01 20:55:35
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https://hk.answers.yahoo.com/question/index?qid=20070221000051KK01867