1. Describe the behavior of the sequence: an = OA. Diverges OB. Converges to 0 OC. Converges to -1 OD. None of these OE. Converges to -4 1-4n n²-1

Q: 4. for the recursivley defined sequence: Σα Find Ea; an=3an-1-2n for n22

A: The expression ∑i=14ai can be expanded as follows. ∑i=14ai=a1+a2+a3+a4   It is provided that a1=4 .…

Q: Please solve (a)

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Q: Which of the following is the explicit expression of a sequence where the first value is 35 and the…

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Q: Find the sum of the finite geometric sequence whose first term is 0.4, whose ratio is 0.5, and which…

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Q: Determine if the sequence converges or diverges and show how you arrived at the conclusion In n² {a}…

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Q: 3. Xn = (-1)(n² -n+7) 4. x, = 2-* %3D 5. X = (-1)"-1n- %3D

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the limit of the sequence, or show why it doesn't exist, an = n4-(n8-n5)1/2.

A: Given,  Sequence                     an = n4-(n8-n5)1/2

Q: List the first six (6) terms of each of the following sequences. You do not need to show your work,…

A: Note: We are entitled to solve only one question at a time and up to 3 sub-parts only. As the…

Q: 8. Determine whether the sequence a n3n converges or diverges.

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Q: 5. (i) Determine the sequence gnerated by the following generating functions: (ii) e(1+x) t (1-1)³

A: (5) (i)          Given generating function is t1-t3= t 1-t-3…

Q: 2. For each sequence below, write the generating function as a rational function. (a) a„= 3" +…

A: a. The given sequence is  an=3n+(-1)n2n+1 for n=0,  a0=30+(-1)020+1 =1+21=3 for n=1, a1=31+(-1)121+1…

Q: -. The general formula for a sequence is tn = 2tn-1-n, where t₁ = -7. Find the third term

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Q: Let (an) be the sequence defined by the recursive relation an = an−1 +7n, with initial term að = 5.…

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Q: Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

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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: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with ? = ?.

A: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with

Q: In 3n an = In 5n

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Q: List the first 5 terms of the following sequence and determine whether or not it 4n2-4 converges: an…

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Q: 5. Find the arithmetic series of the sequence {4, 6, 8, 10, ..., 52}. a. Find n, the number of…

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Q: Find the first three terms of the a, = 4 sequence: an+1= 5n + 1 an 6. O 4, 4, 22/3... O 4, 22/3,…

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