If a1 1 and an+1 4+3an
Web16 nov. 2024 · 例:{an}中,a1=1,an+1 = an / ( 2an + 1 ) 解:1 / an+1 = ( 2an+1 ) / an = 1/an +2. ∴{1/an}是等差数列,首项是1,公差是2. ... 例:{an}中a1=1,an+1 = 3an+4,求an. 解:an+1 + 2 = 3(an+2) ∴{an+2}是等比数列 首项是3,公比是3. ∴an = 3n - 2. Web在数列an中,a1=1,an+1=3an,等差数列bn各项均为正数,前n项和为Tn,T3=15,a1+b1,a2+b2, 1年前 2个回答 在数列 {an}中,a1=2,an+1=3an+2. (其中n+1为下标) 1年前 1个回答 在数列 {an}中,a1=1,an+1=3an+ (n+1)乘以3n (n属于N*) 1年前 2个回答 数列an中,a1=3,an+1=3an,则an= ,sn= 1年前 4个回答 在数列 {an}中a1=-13,且3an=3an+1-2,则当前n项和sn取最小 …
If a1 1 and an+1 4+3an
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WebExpert Answer. Transcribed image text: Find the first six terms of the recursive sequence. = a1 = 1, an+1 = 4an - 1 a1 = x a2 = аз II = a a4 = as аб Find the first six terms of the recursive sequence. an a1 = 4, an+1 = n ai = a2 = a = аз a4 = a5 a6 =. Web在数列an中,a1=1,an+1=3an+3^n(1)设bn=an/3^n-1 证明:数列{bn}是等差数列(2)求数列 1年前1个回答 你能帮帮他们吗 已知等腰三角形的高和底边长度,如何求两腰的长度? 1年前 已知等比数列{an}的各项均为正数,且2a1+3a2=1,a32=9a2a6. 1年前 应用题 帮我讲的详细些圆锥形容器中装有3升水,水面高度正好是圆锥高度的2分之一,这个容器还能装多少升 …
Web10 jan. 2024 · We can use this behavior to solve recurrence relations. Here is an example. Example 2.4. 3. Solve the recurrence relation a n = a n − 1 + n with initial term a 0 = 4. Solution. The above example shows a way to solve recurrence relations of the form a n = a n − 1 + f ( n) where ∑ k = 1 n f ( k) has a known closed formula. WebBy using a 1 = 3 2 and the difference equation a n + 1 = 3 − 2 a n n ≥ 1 then by writting out the first few terms it can be seen that a n + 1 = 1 + 2 n 2 n + 1. Taking the limit as n → ∞ then: lim n → ∞ a n + 1 = lim n → ∞ { 1 + 1 1 + 1 2 n } = 2 Share Cite Follow edited Jul 14, 2015 at 15:15 answered Jul 12, 2015 at 19:54 Leucippus 25.3k 154 40 86
Web4 mrt. 2008 · Find the first five terms of the sequence for which a1=5,and an+1=3an+1. an+1=3an+1 a1+1=3a1+1 a2=3 (5)+1 a2=16 a2+1=3a2+1 a3=3 (16)+1 a3=49 a3+1=3a3+1 a4=3 (49)+1 a4=148 a4+1=3a4+1 a5=3 (148)+1 a5=445 so the first five terms are: 5,16,49,148,445 asked by Jon March 4, 2008 1 answer Web1 apr. 2024 · an − 3an−1 −4an−2 = 4⋅ 3n The associated linear homogeneous equation is a_n-3a_ {n-1}-4a_ {n-2}=0 an −3an−1 − 4an−2 = 0 The characteristic equation is r^2-3r-4=0 r2 − 3r − 4 = 0 (r+1) (r-4)=0 (r + 1)(r − 4) = 0 r_1=-1, r_2=4 r1 = −1,r2 = 4 The solution is a_n^ { (h)}=\alpha_1 (-1)^n+\alpha_2 (4)^n an(h) = α1(−1)n +α2(4)n
Web4 mrt. 2008 · an = 3an − 1 + 9 and a1 = 2. 1.Find a recurrence relation and initial conditions for sequences: 6, 13, 27, 55. 2.Write the first 4 terms in the sequence an+1 = 3an 2 -9 … how to know if your timing belt has slippedWeb4 Now you know the limit exists, so you can assume it is a. Then take limit on both sides of a n + 1 = 3 − 1 a n and you obtain: a = 3 − 1 a Solve the equation, and you get two roots 3 … how to know if your tipsyWeb1年前. 某修路队修一条公路,第一天修了全长的10分之3,第二天修了全长的20分之9,第二天比第一天多修24千米.这条. 1年前. 请教教我如何求三角函数的取值范围. 1年前. 在英语对话中 Hm?和uhm. 1年前 how to know if your ti 84 plus is chargingWeb22 mrt. 2024 · a1 = 2 an = 3an-1 + 1 the nth term is 3 times the previous term plus 1 a3 = 3a2 + 1 a2 = 3a1 + 1 a2 = 3 (2) + 1 = 6+1 = 7 a3 = 3 (7) + 1 = 21+1 = 22 a3 = 22 Upvote • 0 Downvote Add comment Report Still looking for help? Get the right answer, fast. Ask a question for free Get a free answer to a quick problem. Most questions answered within … how to know if your toe is broken or jammedWeb21 mrt. 2024 · a) Let's start by writing the first few terms of the sequence. a_1 = 2 a_2 = 1/(3 - 2) = 1 a_3 = 1/(3 - 1) = 1/2 a_4 = 1/(3 - 1/2) = 2/5 a_5 = 1/(3 - 2/5) = 5/13 As you can see, each term is getting smaller, but there is no way it's going to go below 0 because for this to happen, we would need a_n > 3, and since a_(n + 1) < a_n, and a_1= 2, a_n will … how to know if your truck has a lift kitWebIf a1=1 and an+1−3an+2=4n for every positive integer n, then a100 equals Q. If a1=4 and an+1 =an+4n for n≥1, then the value of a100 is Q. For a positive integer n, let a(n)=1+ 1 … joseph tylus ccpsWeb1 Once you guessed that the limit, if it exists, is because this is the intercept of the first diagonal and of the graph , you can check the convergence, using the identity Since , this implies that Share Cite Follow answered Jun 28, 2014 at 15:43 Did 275k 27 292 563 Add a comment Not the answer you're looking for? Browse other questions tagged joseph t wilson the black phalanx