請大家解釋一下 (數列問題) (10 point)

2006-11-29 11:28 pm
我看過一條問題,

請為下列數列填寫接著的兩個數字
2, 2, 9, 6, 16, 18, 23, ?, ?

正確答案是 54, 30.
真是想極也想不到. 有人能解釋為什麼嗎?

回答 (2)

2006-11-29 11:43 pm
✔ 最佳答案
break down into 2 series

2 .... 9 .... 16 .... 23 .... B
....2 .... 6 .......18 ..... A

B = 23 + 7... as 9 = 2 + 7, and 16 = 9 + 7 ....
A = 18 + 4 x 3^2 , as 6 = 2 + 4 x 3 ^0, 18 = 6 + 4 x 3^1, 54 = 18 + 4 x 3^2
2006-11-29 11:55 pm
將佢分為兩組:
(1) 2, 9, 16, 23, 30
(2) 2, 6, 18, 54

(1) 應該係累積加7, 由2 開始:
2+7=9, 9+7=16, 16+7=23, 23+7=30, 之後30+7=37, 37+7=44....等等

(2) 應該係將結果乘3, 由2 開始:
2x3=6, 6x3=18, 18x3=54, 之後54x3=162, 162x3=486...等等


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