Explain why you think the sequence {1-(-1)" converges to a finite number or diverges. If the n+1 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: If third and seven terms of geometric sequence is 45 and 100 respectively.then find its nineteenth…

A: Given data: The third term is a3=45. The seventh term is a7=100.

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, .?

A: we have to find out the 46th term

Q: Find the 5th term of the geometric sequence with first terma1 = 5 and common ratio r = - 2

A: A geometric sequence is a sequence where each term is found by multiplying the previous term by a…

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

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Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: Find the first term and the common difference of the arithmetic sequence whose 8th term is 1 and…

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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: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?

A: Here we have to find the common ratio of the geometric sequence whose first term is 27 and fourth…

Q: The greatest lower bound for the sequence {2, 4, 8, 16, 32, 64, . } is

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Q: Explain why 12,6,4,3 is a harmonic sequence. Find its nth term.

A: the given sequence is 12,6,4,3. write the reciprocals of the terms, 112,16,14,13 now note that:…

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: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

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

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Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?

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Q: What is the sum of the first 10 terms of the sequence {300, 150, 75, ...}?

A: Given: 300,150,75,...... Formula Used: Sn=a1-rn1-r

Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 28 and…

A: To find: The first term and common difference of the arithmetic sequence. Given: The 9th term of the…

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

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Q: What is the general formula and the 40th term of the linear sequence -6, 1, 8, 15, 22, ...

A: The linear sequence is -6,1,8,15,22......

Q: Find the first term and the common difference of the arithmetic sequence whose 6th term is – 9 and…

A: Explanation of the solution is given below...

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: The first four terms of an arithmetic sequence are given. 27, 32, 37, 42, .. What is the 60th term…

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Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

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Q: The sum of three terms of a geometric sequence is -3, and the second is 6 more than tl first Find…

A: The solution is given below.

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

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Q: Write the general term(rule) of the arithmetic sequence whose third term is 32 and whose eleventh…

A: We can find the required answer as below.

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: 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: What is the first term of a geometric sequence which fourth term is -40 and with common ratio of -2?

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, ... an =

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Q: What is the sum of the first 47 terms of the sequence? −215,−201,−187,−173,

A: We have given a sequence  -215 , -201, -187, -173 So first term,a = -215 Common difference = Second…

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: Explain why 12,6,4,3,.... is a harmonic sequence

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Q: The first term of an arithmetic sequence is equal to 200 and the common difference is equal to -10.…

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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: Find the 16th term of an arithmetic sequence if the first term is 26 and the common difference is .…

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Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is

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Q: List the first five terms of the sequence whose n ,th term is 3" – 2“. Let n = 0, 1, : ...

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Q: Find the sum of the first 20 terms of the sequence 5, 10, 15, 20, ...

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Q: Find the sum of the first 12 terms of the geometric sequence whose first term is 11 and whose common…

A: Given a geometric series with first term 11 and common ratio 5.

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

A: Given: an=4-1n

Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is 9 and…

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Q: The first three terms of a geometric sequence are as 5, -20, 80 Find the next two terms of this…

A: A sequence is a function with domain being set of natural numbers and the range being the set of…

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…

Q: Find the first term and the common difference of the arithmetic sequence whose 11th term is – 15 and…

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Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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