3n The sequence an V11 + 16n? O A. diverges 3 O B. Converges to 16 O C. None of these 3 O D. Converges to 3 O E. Converges to II

Q: n The series E (- n = 0 is: Select one: a. convergent and its sum is e O b. convergent and its sum…

A:

Q: Find the values of p for which the series is convergent. Σ n(In n)P 4 n = 2 P -?- -?- S Answer V VI

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Q: n +1 The sequence an converges to 2 - 1) n- 1 Select one: O True O False

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Q: Assume that the following sequence converges aj = 2, an+1=1+÷One of the following is true Select…

A:

Q: n+7 9) Determine if the series E converges. Explain your conclusion. A Vn +n² -4

A: If limit n tends to infinity an /bn  exits and finite then an and bn converge and diverge together.

Q: co s(n.n) 4- The series En=1 (n+1)2 A- Converges, B- Diverges, C- None

A: ∑n=1∞cosnπn+12 Here, an=cosnπn+12=-1nn+12 Now comparing with an=-1nbn, we get bn=1n+12 Now,…

Q: Which of the followings are false? I. sinn is a divergent sequence. 2n n=1 (24 – 4, /35 – 5, . }…

A:

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: {( 2n The sequence 1+ 2n n=1 Diverges 1 Converges to 1 Converges to Converges to Vē None

A: Ans is given below

Q: 12 5n The sequence 1+ 5n n=1 Converges to

A:

Q: + 1 converges to 2 'n+ The sequence an n-1 Select one: True O False

A:

Q: Which one of the following sequences does converge to 0? (-4)" an a. n! Зп +1 -)" Зп - 1 O b. an =…

A: To find which of the following sequence converge to 0. By using ratio test first and fourth option…

Q: Suppose that an(x-10)" converges at r = 14. At which of the following values of x must the series…

A: The series is convergent at x= 14

Q: n+10 If E then the series Ea, Σα n%3D1 is 4n2-3n3+7 (i) Converge (ii) Diverge

A: We have to determine the convergence of the given series.

Q: Which series converge in the interval described by |x| < 1? 1. 1+x+x^2+... 2. x+x^3 + x^5+... a.…

A:

Q: تفاضل وتكامل )2( نظري - طولكرم الامتحان النهانی - تفاضل وتكامل )2( نظري 14 Suppose a,>0for all n and…

A: The option first is true.

Q: 8. {(G 3n | The sequence 1+3n n=1 Diverges 1 Converges to O None Converges to Ve OConverges to e

A: we have to solve

Q: Which of the followings are true? 00 { 1. sinn is a divergent sequence. 2n n1 II. The sequence {V3-…

A: For the given statement

Q: 6n The sequence a, 20 +64n 3. OA Converges to 4 13 OB. Converges to 32 OC. diverges O D.None of…

A: We will solve the following.

Q: 10" 3. Show that the sequence is eventually strictly decreasing. n! n=1 4. Apply the divergence test…

A: To show that a sequence is decreasing we have to show that a_n &gt; a_n+1&gt;a_n+2&gt;... after some…

Q: (8) Determine whether the following statements are true and give an explanation or a counterexample.…

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Q: 3. a) Determine whether the sequence (an) (V2n + 3 – V2n + 2) ,n e N %3D converges or diverges? b)…

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Q: Which of the following is the sum of the series 3 9 if it converges? 1 O a. 1/4 O b. 1/2 O c. 0 O d.…

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Q: Find the general term of the sequence, starting withn = 1, determine whether the sequence converges,…

A:

Q: 11n The sequence an 20 + 49n2 11 O A. Converges to 20 O B. None of these 11 OC. Converges to 49 11 O…

A: If lim n tends to infinity=finite then the series will converge . But if it is infinite then it will…

Q: 8n The sequence an= V 20 + 9n OA diverges 8. O B. Converges to 3 8. OC. Converges to 5 O D.None of…

A: Evaluate an as n approaches ∞. If limn→∞an is a finite value, then the sequence converges and if it…

Q: 1. The sequence {V(n + 4)(n + 6) – n} is A) Convergent to 0. B) Divergent. C) limn-o V(n + 4)(n + 6)…

A: the sequence given is (n+4)(n+6)-n

Q: n' .2*+3 a) Determine whether the series 7*-2 converges or diverges. NT

A: Given: S=∑n=1∞n3.2n+37n-2

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

A: We have to state whether given statement is true or false.

Q: 20 :Q19 If the series (-1)"a, is convergent and the seies a, is convergent then we said the series…

A:

Q: 3. The value(s) of b for which the series E=50 is convergent are: 4 n3b2 B)는 C)- D)- (수-w-) n (") (M…

A:

Q: For which an does the sequence {an}-1 converge? Select all that apply. OA. sin(3n) an n2 OB. Зп — 1…

A: We will answer the first three parts for you. Kindly repost the question specifying the desired…

Q: (-1)** 3³3n Зп Use the root test to determine if > converges or diverges. 52n+3 n=1

A: Given series is

Q: Which of the followings are false? sinn is a divergent sequence. 27 n-1 II. The sequence {v3-1, /8 –…

A: e will be the right answer.

Q: 2" Use the ratio test to determine whether >. (2n)! converges or diverges. n=17 he ratio of…

A:

Q: uestion 10 13n The sequence n 14 + 81n² OA diverges O B. None of these 13 Oc. Converges to 81 13 O…

A: Sequence convergence problem....

Q: Suppose that > an(x+7)" converges at x = 3. At - n=1 which of the following values of x must the…

A: Solve the following

Q: Q4: (A) Test for convergence or divergence of the sequence 3n (n-1):] (n+1): (B) Find the sum of the…

A: A sequence in n is said to be convergent if the term of the sequence when n→∞ is a constant term.…

Q: Which one of the following sequences converges? 4n OA In (9n) OB. Oc (-1)"2 4" OD.(-1)"- 4n +9 OE…

A: Answer is mentioned below

Q: 4n The sequence an 2 15 + 36n? OA None of these 4 O B. Converges to 15 2 Oc. Converges to 3 O D.…

A:

Q: n2 The sequence is 3 +1 = 1 Select one: a. Divergent b. Convergent 8.

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Q: Vn2 + 1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n…

A:

Q: Find the limit of the sequence 2+ 3n? 8. |1– 2n² n=0 3(4**) n=0 2(72") 9. Find 10. Show that :…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: The first four terms of the sequence (Xn) are given by X1= 1, X2 = 5, X3 = 21, X4= 85. Therefore,…

A:

Q: 3. a) Determine whether the sequence (an) = (V2n + 3 – V2n + 2) ,n e N converges or diverges? b)…

A: Explanation of the answer is as follows

Q: Q6: which of the following sequences converges and which diverge? 3" + 6" -(1+). n2 sin) an %3D 2-n…

A: We determine convergence of given following sequence

Q: 5n The sequence an = V15 + 64n? O A. Converges to O B. diverges 5 Oc. Converges to 64 5 OD.…

A: Calculate the limit limn→∞an which will show if the series is convergent or not. Now,…

Q: Q/Which of the following sequences converge, and which diverge? 70. a, = 71. a, = x>0 2n + 72. a, =…

A:

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.

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.