Determine if the sequence converges or diverges. -30,-14,-6,-2,0,…

Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: Given the sequence (a) 13, 29,327,481,...  Common difference, d = t1-t2=29-13=-13≠t4-t3=-581 The…

Q: Write an expression for the nth term of the sequence −5, −2, 3, 10, 19, . . and then determine…

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Q: Determine whether each sequence is finite or infinite. For the finite, give the last term. For the…

A: Given series is 3,-1,-4,-6,-7The given series is finite , that means there exists a lastterm.In…

Q: Determine whether the sequence is increasing,decreasing, or not monotonic. Is the sequence bounded?

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Q: Write an expression for the nth term of the sequence and then determine whether the sequence you…

A: The numerators are 1,2,3,4,.... So the nth numerator will be n.   The denominators are (2∙3), (3∙4),…

Q: Which of the following is an increasing arithmetic sequence? O -2, -4, -6, -8, ... -12, -10, -8, -6,…

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Q: Find a sequence {an} whose first five terms are                                                 2/1…

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Q: 2n 1. 1+2п n! 2. 1:3:5. (2n-1). n³–1) п n! 4. 3n . 3.

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

Q: tell whether the sequence is arithmetic. * 0, -4, -8, -12, -16, ...

A: Given: A following sequence is given 0, -4, -8, -12, -16, ... To Find: To check the given sequence…

Q: (a) Find the first four terms of the sequence defined by a, = n². a1 = a2 = аз a4 %3D

A: (a) A sequence is given by an=n2 We need to find first four terms of the sequence.…

Q: Identify the sequence as either arithmetic or geometric. List the next two terms of the sequence.…

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Q: Write an expression for the nth term of the sequence and then determine whether the sequence you…

A: Given Data The sequence is 2,8,14,20,.......... The first term of the sequence is a1=2. The second…

Q: n! ..: (2n-1

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Q: Give an example, with explanation, of a sequence that converges to 8.

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Q: A. Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26,…

A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: Determine which of the sequence coverage or diverge? (-1) 1:{+}, 2:{ +9} - :

A: We will use the definition of convergence of a sequence to check the convergence of the sequence.

Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: Determine which of the sequence coverage or diverge? 1: (-1) 2 : 2h-1 3:

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Q: 3 The sequence,,,,,... is a geometric progression.

A: A sequence an is a geometric progression if            an+1an=an+2an+1 for all n∈ℕ.

Q: Which of the following sequences is an arithmetic sequence? Select all correct answers. Select all…

A: -4, 1, 6, 1, -4 _ _ _

Q: Write a rule for the n th term of the sequence. Then find a- 11.7,10.8,9.9,9,.. 0.9n+ 12.6

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Q: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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Q: Determine if the sequence is geometric. If it is geometric, find the common ratio. a) 2, 6, 18,…

A: For the given sequences (a). The sequence is not in GP  (b).  The sequence is in GP with common…

Q: Determine whether the sequence is increasing, decreasing, or not monotonic.  Is the sequence…

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Q: Which of the following is an increasing arithmetic sequence? -2, -4, -6, -8, .. -12, -10, -8, -6,…

A: Please refer the attached image for complete solution.

Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

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Q: Determine whether the statement, 'The sequence 2, 6, 24, 120, ........ is an example of a geometric…

A: Given:2,6,24,120.....

Q: Determine whether the sequence is increasing,decreasing, or not monotonic. Is the sequence bounded?

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Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 a 3, r = - Question Help: D…

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Q: Determine if the sequence is geometric. If it is, find the common ratio. 1) -1, 6, –36, 216, ... 2)…

A: Geometric series when common ratios of consecutive numbers are equal

Q: Determine if the sequence is geometric. If it is, find the common ration, the 8th term, and the…

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

Q: Зп —1 a, = п+2

A: The given sequence is an =3n-1n+2 We have to show that the sequence is eventually increasing or…

Q: determine whether the sequence is arithmetic. If so, identify the common difference d. 9, 12, 16,…

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Q: Determine whether the sequence is arithmetic or geometric.-1, 1, 3, 5, 7, . . ._______________

A: The given sequence is,  -1, 1, 3, 5, 7,…… A sequence will be said to be in arithmetic progression if…

Q: Write an expression for the nth term of the sequence and then determine whether the sequence you…

A: 2, 1+12, 1+13, 1+14, 1+15, ......... The nth term of the sequence is, an=1+1n

Q: Determine if the sequence is geometric. If it is, find the common ratio 1) –1, 6, –36, 216, . 2) –1,…

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Q: Finding the nth term of a sentence and determine whether the sequence converges or diverges.…

A: The given sequence is 2 ,24, 720, 40,320, 3,628,800,…  The terms of the sequence can be expressed as…

Q: Tell whether the sequence is arithmetic 1. 100, 50, 25, 12.5, 6.25,.... 2. 0, -4, -8, -12,…

A: Tell whether the sequence is arithmetic 1. 100, 50, 25, 12.5, 6.25,.... 2. 0, -4, -8, -12,…

Q: Write an expression for the nth term of the sequence 3, 8, 13, 18, 23, . . .and then determine…

A: Given sequence  3, 8, 13, 18, 23, ...

Q: The nth term of the sequence -2,0-2,0 -2,0, is ... Select one: a. (-1)".2-2 O b. (-1)" +1.2-2 O c.…

A: Consider the sequence-2,0,-2,0,-2,0,............

Q: Which lists four consecutive terms of an arithmetic sequence? A 3, 10, 17, 24 1, 4, 9, 16 C 1, 2, 4,…

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Q: Write an expression for the nth term of the sequence and then determine whether the sequence you…

A: Ratio test: Let we have ∑an. Define, limn→∞an+1an=L If L < 1 the series is absolutely convergent…

Q: the sequence an се

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Q: Find a2 and a3 for the geometric sequence, 2, a2, a3, -54.

A: Consider the following geometric sequence: 2,a2,a3,-54 Common ration=a22=a3a2=-54a3 a22=2a3a24=4a32…

Q: Write an expression for the nth term of the sequence and then determine whether the sequence you…

A: The sequence is

Q: Which of the following is an arithmetic sequence? O 12, 15, 20, 27, .. о-1.5, —1, O -1.5, –1, – ,…

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Q: (-1)") Vn п 3 n=1

A: The given series is an alternative series is of the form: ∑n=1∞−1nan=∑n=1∞−1n1n3an=1n3

Q: Find r for the infinite geometric sequence. Determine whether the sum will converge. - 81, - 27, -…

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Q: Write an expression for the nth term of the sequence and then determine whether the sequence you…

A: Given sequence of numbers is: −2, 1, 6, 13, 22, . . Then we get,  First term=t1=-2=1-3=12-3Second…