Explain why you think the sequence { n+1 converges to a finite number or diverges. If the sequence converges to a finite number, illustrate the problem solving process used to find that number, and clearly state that number in your conclusion.

Q: The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

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

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Q: The first eight terms of a sequence are as follows: 2, 6, 12, 20, 30, 42, 56, 72, Find a closed…

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Q: Give an example of a sequence satisfying the condition. (a) A monotonically increasing sequence that…

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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn 2n +…

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Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: determine the limit of the sequence or show that the sequence diverges. an = √n + 5 − √n + 2

A: Determine the limit of the sequence or show that the sequence diverges. an = √n + 5 − √n + 2

Q: Write the terms a1, a2, a3, and a4 of the following sequences. If the sequence appears to converge,…

A: an=1-10-n , n=1,2,3,....a1=1-10-1a1=1-110=910=0.9a2=1-10-2a2=1-1100=99100=0.99a3=1-10-3…

Q: Does the geometric sequence converge or diverge? Explain. 40,-10, 2.5, -0.625,...

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Q: The nth term in a sequence is an. How can you represent the next three terms in the sequence?

A: Given, A sequence with, n th term= an

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

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Q: The 20th term of an arithmetic sequence is 96, and the common difference is 5. Find the nth term.

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

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Q: What is an example of a sequence that converges to 5?

A: A sequence is convergent to a point "P" , if there is a point "P" which repeats infinitely many…

Q: Explain why you think the sequence 7 converges to a finite number or (-8)"-1 diverges. If the…

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Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

Q: Find with explanation, a diginacci sequence that has no term equal to 11

A: Consider the given explanation. A diginacci sequence is defined as. The first two terms are any…

Q: What is the 5th term of the geometric sequence 3/20, 3/2, 15, …? Show your solution.

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Q: Explain why you think the sequence -2, 25 125 " ... 8 2 32' . converges to a finite number or…

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Q: This is a sequence, which test should I use and is it convergent/divergent? Explain. {(-1)n (n+1),…

A: This is a sequence which test should I use and is it convergent/Divergent? {(-1)n(n+1)!/3n!}…

Q: Find the common ratio of the infinite geometric sequence whose sum is -11/13 and the first terms…

A: The detailed solution is given below Thank you

Q: Is the sequence divergent or convergent? Explain and give the solution of the answer.

A: This is a problem related to sequences. Based on the general formula we will identify the nature of…

Q: Explain why you think the sequence 1-(-1)" con converges to a finite number or n+1 diverges. If the…

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Q: Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which…

A: Topic:- sum of GP

Q: Explain why you think the sequence converges to a finite number or (n+1)! diverges. If the sequence…

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Q: { Explain why you think the sequence 7" converges to a finite number or -8)²–1 diverges. If the…

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Q: What is a sequence that can be graphed that converges to 5?

A: Please find the answer in next step.

Q: The median of the first five terms of a geometric sequence is 4. The ratio of the first term to the…

A: Let the terms of the GP be a,ar,ar^2,ar^3..

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

A: The given sequence is an = (3/2)n A sequence an is monotonic when its terms are non-decreasing…

Q: Explain why you think the sequence converges to a finite number or n+1 diverges. If the sequence…

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Q: find the sum of the finite geometric sequence.

A: To Determine: Find the sum of finite geometric sequence.

Q: Determine the nth term for a sequence whose first five terms are 2 8 26 80 242 2' 6 24 120 and then…

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Q: Create the first terms of a sequence using the following recursive definition (see image attached).…

A: We use the given general term of the sequence to find first few terms of the sequence.

Q: Find the infinite sum of the geometric sequence with a =2 r=2/6 if it exist

A: The geometric sequence with a =2, common ratio r=2/6

Q: Which term of the arithmetic sequence 1, 6, 11, 16, ... is 101? It is the th term.

A: The objective is to find which term of the arithmetic sequence is 101.

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

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Q: Does the sequence converge or diverge? Give a reason for your answer. a, = (6(- 1)" +6) %3D

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Q: { Explain why you think the sequence converges to a finite number or diverges. If the (-8)"- ル-1…

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Q: Give the sequence an = 3n/5n From what I can tell the sequence converges but what is the value?

A: Sum =a/(1-r)  a is the first term r is the common ratio.

Q: Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a…

A: The given sequence is: an=1,4,7,10,.....  Given sequence is a arithmetic progression with: an…

Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

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Q: Explain why you think the sequence {1-(-1)" converges to a finite number or diverges. If the n+1…

A: The given sequence 1--1nn+1 Note:     Multiple questions are given we are answered with only one…

Q: Please determine if the sequence converges or diverges. \left(\frac{n!+6}{n!-2}\right)

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Q: The sequence convergent to Answer:

A: The solution is in step 2

Q: Find the fifth term in the sequence that is defined as follows: an = 4 + (-1)" Enter

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Q: The first term of an arithmetic sequence is 2 while the 18th term is 87. What is the common…

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Q: What is meant by common difference of the sequence?

A: Common difference of the sequence:

Q: How can you know if a sequence diverges or converges?

A: Answer :  We can know that a sequence is  diverges or converges ,  We have to remember that of a…