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~
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~

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
因為好難就咁打出黎,
係係一畫家到畫左出黎
http://i155.photobucket.com/albums/s312/umin08277/maths.jpg
希望可以幫到他la~
參考: me


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