. Use the appropriate limit laws and theorems to determine the limit of the sequence. an=(3+8/n^4)^1/5. (Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.) 2. Find a formula an for the n-th term of the following sequence. Assume the series begins at n=1. 1/1 ,-1/8, 1/27,... (Use symbolic notation and fractions where needed.)

Q: Which one of the following sequences converges? n? O A (-1)", 7n +9 OA. n O B. (-1)" В. 9n +4 O…

A:

Q: b) an = Find the limit of the sequence, if it exists. (Again, this is a sequence, not a series)…

A: To find the limit of the sequence, if it exists.an=1-3n5n

Q: Consider the sequence 35 7 (2'8' 48' 384 .}. Answer the following: ... a. Find the general term an…

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Q: 7. Take the Fibonace the first term by 100, infinity)-the sum is [Hint: The standard a series by…

A: The proof of given question has been obtained in step 2.

Q: Suppose that is a convergent sequence and {an} 3n a, = 12· lim 2n+1) Find lim an. O48 OB. 18 OC12…

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Q: *30. Formulate Substitute the formula for the nth term of an arithmetic sequence (105) into the…

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Q: 1. Find the limit of the sequence. When computing the limit, show all steps involved. 3n In 2 1 +…

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Q: 1,2, 3, 4 , In2 In3 In4 In5 1. For the sequence (a) Find an expression for the n th term an. (b)…

A: solve the following

Q: If the sequence converges, enter its limit. If it diverges to oo, enter "infinity". If it diverges…

A:

Q: 4. use Geometric Series to find the fraction notation for: 0.55555...

A: Geometric Series is the series in which their is common ratio between all the elements of the…

Q: 3. Find the arithmetic series of the arithmetic sequence {1, 2, 3, ..., 200} Show your work here:

A:

Q: 7. Find a formula for a, of the sequence { 3, 6, 9, 12, ..}, assuming that the pattern of the first…

A: Given sequence is 3,6,9,12,..... Here, we have a2-a1=6-3=3a3-a2=9-6=3 So, a2-a1=a3-a2 Therefore,…

Q: Find a formula for the nth term of the following sequences: (a) 1, 1, 1, ... An = 4 9 (−1) n+1 1 n 2…

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Q: Find the nth term of the given sequence, where n= 1,2,3... 1/5, 4/9, 9/13, 16/17...

A: The given sequence is 15, 49, 913, 1617,⋯ Here numerators of the fractions are 1, 4, 9, 16 which are…

Q: 2. The first few terms of a sequence (x) are given below. Assuming that the “natural pattern’…

A: Here, we have to given first few terms of a sequence. Assuming that the natural pattern indicated by…

Q: 7. calculate the first three partial sums of the following infinite series. n%=1

A: We have to solve given problem: Concept:

Q: 4. Find the limit of the sequence an = 2arctann n³ +4

A: The given sequence is

Q: Let an be a sequence defined by a1 = 0 and a2 = 1 and for n > 3 an = (n – 1)(an-1+an-2). %3D

A: Here, the terms given in the series are, a1=0,a2=1an=n-1an-1+an-2 Calculate the third, forth and…

Q: a. Write the first 10 terms of the Fibonacci sequence. 1 (1+ V5 2 calculator to verify this…

A: a) First term= 1 Second term= 1 Third term=1+1=2 Fourth term=2+1=3 Fifth term=2+3=5 Sixth term=3+5=8…

Q: Which of the following statements satisfies the quadratic function f(x) = x + 16x +9: %3D…

A: The given questions are solved below.

Q: 1. Describe the behavior of the sequence: an = OA. Diverges OB. Converges to 0 OC. Converges to -1…

A: