Re: 數列一題 - 推理遊戲
By Skylar DavisLinda
at 2009-04-14T11:56
at 2009-04-14T11:56
Table of Contents
※ 引述《Hseuler (藍色貍貓)》之銘言:
: 1,1,5,3,23,7,119,15,719,31,___
: 下一數是?
我是分成奇數項和偶數項
奇數:1,5,23,119,719
偶數:1,3,7,15,31
偶數比較簡單:後項 = 前項*2 + 1 即:1*2+1 = 3 , 3*2+1=7 ,...
奇數 : 1*3 + 2 = 5
5*4 + 3 = 23
23*5 + 4 = 119
119*6 + 5 = 719
719*7 + 6 = 5039
X(n)*(n+2) + (n+1) = X(n+1)
X(1) = 1, n = 1,2,3,.....
就是每次要"乘"的數和要"加"的數都要"+1"
不知大家是否也是這樣看?
--
: 1,1,5,3,23,7,119,15,719,31,___
: 下一數是?
我是分成奇數項和偶數項
奇數:1,5,23,119,719
偶數:1,3,7,15,31
偶數比較簡單:後項 = 前項*2 + 1 即:1*2+1 = 3 , 3*2+1=7 ,...
奇數 : 1*3 + 2 = 5
5*4 + 3 = 23
23*5 + 4 = 119
119*6 + 5 = 719
719*7 + 6 = 5039
X(n)*(n+2) + (n+1) = X(n+1)
X(1) = 1, n = 1,2,3,.....
就是每次要"乘"的數和要"加"的數都要"+1"
不知大家是否也是這樣看?
--
Tags:
推理遊戲
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