why sequence Xnk approaches +infinity and why sequence Xmk approaches -infinity. Why would one use each of the sequences if the main sequence is (n sin n)?

Q: What is the closed form for the infinite geometric sequence beginning  4,2,1,1/2 where the first…

A: Given :The infinite geometric sequence : 4, 2, 1, 12, ..

Q: Prove that the sequence ((-1)")=1 does not converge to any number.

A: Solution :- The given sequence is                          {  an }   =   { (-1)n}  then , we have to…

Q: Find the sum of the first five terms of the sequence. (Assume that the sequence is defined for n ≥…

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Q: Suppose (xn) converges, and let K be a positive integer. Now create a sequence (yn) by changing the…

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Q: Is there a way to do just using the starting value 2, instead of 2 and 5? In other words, can I get…

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

Q: 51. аn 2" +3" %3D 4"

A: We have to find the limit of sequence

Q: {   x_(n+1) = 3 + [6/(3 + x_n)]     } Beginning with a firs approximation of x_1 = 4, find the next…

A: This is a problem of Sequence.

Q: The answer above is NOT correct. Suppose that a sequence an, satisfies a₁ = 1, a2 = 8 5' = 2끙, a4 az…

A: a1=14a2=-85a3=276a4=-647

Q: 4. Consider the sequence 8 1 {2(k+3 (2(k+3)) k=1 rewrite the sequence from j-5

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Q: a1=1 , an+1=4-an , n is greater than or equal to 1 is the sequence convergent or divergent?  what if…

A: Given that a1=1 and an+1=4-an, n≥1 Write down the first few terms of the sequence: a1=1, Substitute…

Q: What is the exact value of the limit of the sequence -n^3/(n^4+1)?

A: To determine the value of the limit.

Q: What is the explicit formula for the following sequence: 11, 22, 44, 88,... O f(n) = 11*2^(n-1) %3D…

A: The given sequence is 11,22,44,88,… Find the explicit formula for the given sequence as follows.

Q: Let (an) be the sequence defined recursively by a₁ = An = √3. √2an-1 +3, Prove that (an) is…

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Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. These rabbits…

A: Step:-1 Given that rabbits produce exactly 1 pair after 2 months. Let we have 1 pair of rabbits and…

Q: Give an example of a sequence (an) and (bn) such that (an) and (bn)  diverges and (anbn) converges.…

A: Consider two sequences (an) and (bn) which are,

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

A: Please find the answer in next step.

Q: Find the third term of the sequence  {2n^2/3^n-1}from n=1 to ∞

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Q: Let (an) be an increasing sequence of real numbers bounded from above and (bn) be a decreasing…

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Q: Let (an) be the sequence defined recursively by a₁ = √3, an Prove that (an) is bounded. = √2an-1 +3,…

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Q: 4n3 -n Does the sequence converge? If so, to what value? If not, does it diverge to positive…

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