Re: [考古] 請問三題計算題

看板trans_math作者Honor1984 (希望願望成真)時間17年前 (2008/07/08 21:50)推噓2(2推 0噓 3→)

留言5則, 2人參與討論串2/3 (看更多)

※ 引述《flygey (努力達成目標)》之銘言： : ∞ : 3.Sequence{an} whose the first three term are: : n=1 : a1=1+1/2 , a2=1+1/(2+1/2) , a3=1+1/[2+1/(2+1/2)] : (1)what is the fifth term? : (2)Give the general form of an : (3)Is the sequence {an} convergence or divergence ? If convergence then : find it's limit else state the reason for divergence 這一題好像你貼了第二遍當時沒有人回答..... (2) 通式為a = 1 + 1/( 1+a ) n n-1 (1) a1 = 3/2 a2 = 7/5 a3 = 17/12 a4 = 41/29 a5 = 99/70 (3) convergence 設n→∞ a = 1 + 1/(1+a) => a = √2 (負不合) : 這題也是不知該用什麼公式算 : 感謝版友指導解題 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 122.124.106.150

推

frekfrek

07/08 21:51, , 1^F

07/08 21:51, 1^F

我剛剛檢查了一下應該不是單調遞減數列

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frekfrek

07/08 21:57, , 2^F

07/08 21:57, 2^F

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frekfrek

07/08 21:57, , 3^F