01: Which of the sequences converge, and which dive 1-6n 2. an an =(1+ 3n %3D an = 1+ 2n ملف

Q: 34-1 Q1: Investigate if the following sequence converge or diverge in = 0 10n+5»

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Q: a/Which of the following sequences converge, and which diverge? 1- 5n* n* + 8n n2 - 2n +1 n - 1 n+ 3…

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Q: Find the first three terms of the sequence whose nth term is given. Sn = 3n - 2 A51=1, 52 = 2, 53 =…

A: Given : sn = 3n - 2

Q: 21) which of the following sequences is converge or diverge: {²√n} 8.6 } "

A: Given sequences are n2n , 1n! , 110n

Q: 4.W: Which of the sequences {an} converge and which diverge: 1-n 3 n+(-1)" 2. an 1. an 70- 4n2

A: Convergence and divergence of the sequence

Q: Find the requested term. Find the 17th term of the sequence Sn 5n - 3. %3D S17 = %3D

A: We have to find the 17th term of the sequence sn=5n-3.

Q: 1 The sequence converges to - 2 n² – 1 - Vn2 +n Select one: O True O False

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Q: Does the sequences converges or diverges ? A) . (1-)") .«1 +(-1)"), ((-1)". (n+3 2n3 \n+1, n3+1

A: SOLUTION-

Q: 9. Which of the following sequences is convergent? &(A) (n). O (B) ((–1)*). L0 (C) (inn). (D) None…

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Q: > The general term of the sequence 1,!! ! , starting by n-0 is (6) 2n+1 (ii) (iii)None of these

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Q: Find the closed formula for each of the following sequences (an)n>1 by relating them to a well known…

A: Givena 4,7,12,19,28,‐‐‐‐‐

Q: Hiw.Find the first four terms of the falluwing sequencers 3 an-- Sinn an n-n² 4-

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Q: 1 -lean The sequence converges to - 2 Wn² -1-Vn² +n Select one: True To O False

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Q: 2. Which of the following sequences converge to zero? n2 (a) n2 + 1 (b) 2" (c)

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Q: 14. If a sequence is defined by a, = n² +9n , a) find the sixth term, a̟. b) find the sixth partial…

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Q: Exercises to Solve:- Determine which of the following sequence is convergence and divergence. (3n³…

A: Sequence {an} is convergent if lim sn have finite limit point exist.

Q: H.W: Which of the sequences a, converge and which diverge: 2.-(12)

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Q: 1.Determine the formula for the nth term of the following sequences: а, 3 3, ап+1 %3D 2а, ; n 2 1…

A: Given: a1=3an+1=2an ;         for  n≥1

Q: 00 For which a does > n(In n)a converge? n=2

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Q: Ex check the Convergency of the Pollowing sequences. (5 メフ6 2n + 1

A: converges of the sequence

Q: Give an example of a sequence that converges to 4n-8 а. an %3D Зп - 5 3+ 8n b. %3D an 4+5n 4n-8 C.…

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Q: Which of the following sequences is strictly decreasing 8. n+ 1 n+1 S None

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Q: 5. The sequence . is convergent in (R. d). a. True b. False

A: 5 -b(false)

Q: 10. Suppose {an} is a sequence of real numbers and b, the sequence {bn} is convergent, so is {an}. =…

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Q: 1 Consider the sequence defined implicitly by a1 = 1 and a, = 1+ an-1 (a) Write out the first four…

A: We will find the first fours terms by the given function and limit.

Q: Match the sequence with the given nth term with its graph. 10n n + 1 an an 10 8 1+ .. 6. 2 4 6 8 10…

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Q: 1. Find the sum of the first k terms of the following sequences for the given value of k. a. an = 3…

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Q: Question Specify which of the following sequences converge en n+V5 an =5- %3D n2 Cn = an and Cn the…

A: If limn→∞an  exists and is finite the then sequence an is converges.

Q: Determine whether the sequence is increasing, decreasing, or not monotoni 7n – 8 an 8n + 2

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Q: A monotonically increasing sequence diverges to 00. Select one: O a. True O b. None of these O c.…

A: This question is related to monotonic sequence property.....

Q: One of the following sequences is diverg 8. 3n (-1)" 1)" n2 +7 n=2 {8}n=1

A: Answer for this question is second option.

Q: Find a fomula for an given the few terms of the sequence. 1/2 , 1/4 , 1/8 , 1/16 , ....

A: We can solve the problem by obtaining the nth term of the sequence.

Q: 2. (a) Write the first 5 terms of the sequences with general terms an below and indicate whether…

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Q: Which of the following sequences is a convergent and decreasing sequence with least upper bound 1?…

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Q: 1. Find an explicit formula for the general term of the given sequence: 5, 10, 20, 40, 80,…..

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1 The sequence converges to ,? – 1 – V n² +n | Select one: True 21 False

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Q: 5. The sequence r. is convergent in (R. d). a. True b. False

A: 5 - b , (false)

Q: 1. Determine whether or not each of the given sequences converges and if the sequence converges show…

A: We need to check whether the given sequence converges or diverges and if they converge ...to which…

Q: 4. (8 pts) Define the sequence a, by a = 1, a2 = 33, and an = 3an-1+10an-2 for n 2 3. Prove that an…

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Q: Which of the following sequences diverge? А. a„ = 2 + (0.1)" %3D 1 5n В. - An n* + 8n n? – 2n + 1 An…

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Q: Use forward iteration method to find explicit formula for the following sequence: An = n. An-1 ; n >…

A: This question is related to sequence and relation , We will solve it using given information.

Q: Which of the following sequence is not a term of 36? a. Tn = n2 b. Tn = 6n c. Tn = 6n - 6n d. Tn…

A: For option a.  let n = 6 then T(6) = 36 so option a is incorrect. For option b. let n = 6 then T(6)…

Q: 2. Which is (are) the initial condition(s) for the Fibonacci sequence? Fo=1, F₁ = 1 Fo=1 F₁ = 0…

A: We can solve this as follows:

Q: 9. Which of the following sequences is convergent? (A) (n). O (B) ((-1)"). O (C) (inn) O(D) None of…

A: Third option is the true one. See the step 2

Q: Q1:Which of the sequences converge, and which diverge? 1- 6n an = 1+ 2n 1 3. an = (1+ (0.2) 1. 2. an…

A: 1.) an = (1 - 6n)/(1 + 2n) converges to (-6)/2 = -3. 2.) an = n2/en converges to 0.

Q: 9. Which of the following sequences is convergent? (A) (n). O (B) ((-1)"). O (C) (sinn). (D) None of…

A: convergent sequence is(c)  sinnn

Q: 1. Give a formula for the general term a, for each sequence below. 7,4, 1, -2, -5, .. 81, -27, 9,…

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Q: Det ermine if the following sequences converge or O {3n2 -17 Lion +5n². diverge.

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Q: One of the following sequences is divergent 3n (-1)n n2 + 7 n=2 3. n=1 (-1)* n=1 O None

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.