111 1 1: 2.6 24. 120

Q: n+1 n+1

A: As per the instruction, we will be answering only the first one. For (1),     limn→∞…

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

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Q: In the given question as foloows, write an expression for the nth term of the sequence and then…

A: Given sequence is  12.3,23.4,34.5,45.6,.....

Q: Determine whether the sequence defined as follows is convergent or divergent?   a1 = 1       an+1 =…

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Q: The value ofk that makes the following sequence is converge to * : (7/6) as n approach to infinity…

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Q: 3+5n? an 2 2n+n°

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Q: Consider the formula for the following sequence. Using a calculator, make a table with at least 10…

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Q: If Ea, converges and a, > 0 for all n, can anything be said about 2(1/a,)? Give reasons for your…

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Q: Determine whether the following sequences converge or diverge. If the sequence converges, determine…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 64. (a) Determine whether the sequence defined as follows is convergent or divergent: a1 = 1 An+1 =…

A: A sequence which is neither convergent nor divergent is called oscillating sequence. If it oscillate…

Q: Does the following sequence converge? an=1/7 an=7

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Q: Q: If E find the following: - 2n-1 (n+1)(n+2) 1- The sum of sequence? 2- Determine, if the sequence…

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Q: Determine if the following sequence converges or diverges. 14(2") + 16 14(3") an = Note: If it…

A: Note : the sequence is convergent. We will evaluate the limit.

Q: Consider the sequence {x} defined by n n+1 1+In(1/n²) ifnis odd Is the sequence divergent or…

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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: Find an explicit formula for a sequence of the form a,, az, a3 with the initial terms given below.…

A: To find  An explicit formula for a sequence of the form with the given initial terms.

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

A: an=10n-1 When n=1, a1=101-1=9 When n=2, a2=102-1=99 When n=3, a3=103-1=999 When n=4, a4=104-1=9999

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

A: We have given sequence an+1=1+an2;a0=2

Q: Check whether the following statements are true or false. The sequence defined by a,=1, a+1=-a,…

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Q: Write the first 4 terms of the following sequence then determine whether the sequence converges or…

A: Here the given sequence

Q: 4 – 7n6 an- nº +3

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Q: 1 Q:: If En=1 find the following: - Vn+1+vn 1- The sum of sequence? 2- Determine, if the sequence…

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

A: Consider the given sequence an=110n; n=1,2,3

Q: In the given question as follows ,find the limit of the sequence with the given nth term. see the…

A: The given sequence is  an=6+2n2

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

A: Given sequence is an+1=10an-1, a0=0 Substitute n=0,1,2 and 3 and use the values of previous terms.…

Q: (b) E (n + 1)(n + 2) n=1

A: We have to find

Q: which of the following sequences is converge or diverge: {²√n} ( 103

A: sequence converges

Q: Q1/ Isthe sequence {a,} converge ? († - ) -

A: If a sequence converges to some limit, then it is convergent; otherwise it is divergent.

Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: What is the sequence function (an) for the following 1 2, 1.2, 3 3

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Q: {an}= {2n– 1} {ansn=1 00 n Sn+1] {an}- {anšn=l 2n 2n {andn=1 n+1]

A: To Check that which of the following sequence is Convergent, descending and smallest upper bound 1…

Q: Determine if the following sequence converges or diverges. If it converges, state the value it…

A: The solution for the above question is shown below.

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

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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: Assume the terms of a sequence (a,) are given by the following formula: Find the limit of the…

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Q: 1 The sequence converges to ,? – 1 – V n² +n | Select one: True 21 False

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Q: EX check the convergency of the following sequences (n+1)2

A: Convergence of the sequence

Q: (E) The sequence defined by a, =1, a=-a, converges to 1. e

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Q: en (a) 1+n2 n=1

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Q: Consider the sequence {x} defined by n n+1 +In(1/n²) ifnis odd Is the sequence divergent or…

A: Since answering more than one question is not in our scope, rest can be reposted.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its (imit.…

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Q: Write the precise definition of the following: A sequence {Sn converges A sequence { Sn} is bounded

A: We will write the definition of sequence  converges and bounded

Q: If the sequence (s_n) converges, then so does every subsequence of (s_n). True False

A: Suppose s_n be a convergent sequence. We have to check the statement that every subsequence of s_n…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here we have, 16, -136, 1216, -11296, .......................

Q: Let {an} be a positive monotonic sequence with sup an = 12345. Which of the following statements is…

A: Counter example: For option E:  {an}=12345/n for all n€Natural no.  This is positive monotonic and…

Q: Consider the sequence given by 9 9 7 3, 8' 4' 2 17 17 13 9 5, 2' 3 33 33 25 {an}1 5 5 2, 2' 4, 16' 8…

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

A: Consider the given sequence as an+1=10an, a1=1

Q: Write the first five terms of the sequence, give the exact answer: {n+13) n=1 Determine whether the…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.