Which one of these sequences is convergent Select one: O a. none of these. Ob. 2n+9 n' nt О с. 2n+6 O d. 2n+2 O e. 2n+4

Q: Express the sequence as a sum of scaled and shifted unit steps. n = 0 n = 1 3 2 x(n) = n = 2 else…

A: We have to solve given problem:

Q: Which of the following is the generating function for the sequence 5, 5, 5, 5 O A. G(x)=(1-x) 1 O B.…

A: Generating Function: Generating Function is a way to represent an infinite sequence. Consider a…

Q: Which of the following is the generating function for the sequence 5,5, 5,5? O A. G(x)=(1-x) 1 O B.…

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Q: Write the first four terms of the of the sequence tn 2tn-1 + 4 where t₁ = 5 P

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Q: Which one of the sequences below is divergent? 2n? 3n + 17 2n 3n + 5J 2n n +n +1 D {2-} D

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Q: Q4) which of the sequence below converge, and which diverge? 1- 5n • Un n4+ 8n3 • U, - In (" *!)".…

A: Note: Our guidelines we are supposed to answer only first three subpart . Kindly repost other…

Q: an= (-5)n an an = COS 4n+n3 3n+4" os(T) 8

A: The detailed solution with explanation is presented as the next step.

Q: Use the difference anti-an, to show that the given sequence {a} is strictly increasing or strictly…

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Q: Which of the following is the generating function for the sequence 5, 5, 5, 5,. ? O A. G(x)=(1-x)-1…

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Q: Q1: Which of the sequences converge, and which diverge? n2 an 1-бп 1. 2. an 1+ 2n = [1+ 3n 3. an 4.…

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Q: 1. Find the general solution of the following equations: (a) (1+t²) (dy/dt) +t-y = (1+t²)5/2 (b)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A sequence has f(1) = 120, f(2) = 60 . a. Determine the next 2 terms if it is an arithmetic…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Which one of the following sequences does diverge to infinity? Oa. an Inn O b. an In 2n OC. 2n O d.…

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Q: Let an = 1 for n = 1, 2, 3, ... . Write out the the first three terms of the following sequences. 3n…

A: Given  To find (a)  then find (b)  then find (c)  then find (d)  then find

Q: Find the sum of each finite series. (2n-1) 22. (3n+2) 23. -2

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Q: List the first four terms of each sequence. An = 2n + 6: 8 10 12 14 ,.... bn = (4)" : 4 16 64 256…

A: We can find first four term of the given sequences . Put n=1,2 ,3 ,4 and find four terms of the…

Q: х The terms of the sequence defined by al = x and a, for n>1 give successively better An-1 ал-1…

A: a1 = x; x = 2

Q: Show that the sequence {1, -1, 1, -1, 1, -1, ..., (-1)n+1, ...} diverges.

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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: Solve the recurrence defined by a for n ≥ 1. an 3(6^n)-2 3 and : 6an-1 + 5 an =

A: As per the guidelines I am answering only one question at a time. an=6an-1+5, a0=3

Q: INDEX NUMBER: ... 1. Let a, - (-1)" +, vn21. Which of the statements below is/are trus? I: la,Is2,…

A: Given sequence is  an = (-1)^n + 1/n

Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: 4. Which one of the sequences below is divergent?

A: Clearly in the first option degree of the numerator is greater than the denominator.

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

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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.