Historical data on the frequency of stops of a certain machine show that there is a probability of 0.2 that it will fail (X = 1) and 0.8 that it will not fail (X = 0) on a given day. Generate a random sequence that simulates this behavior for one month. Determine the total number of stoppages in the month.

Q: (a) Give an example of a bounded sequence that diverges.

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Q: A convergent sequence is bounded. A True B False

A:

Q: Determine whether the sequence converges or diverges. an = (1 + 2j• п

A: To check whether sequence is convergent and divergent.

Q: (a) Write the first 5 terms of the sequences with general terms an below and indicate whether they…

A: We need to write the first 5 terms of the sequence and determine whether the sequence converges or…

Q: Determine if the sequence 1+ 3n is convergent or divergent.

A:

Q: n3" converges Determine whether the sequence an or diverges.

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Q: Does the sequences converges or diverges ? A) . (1-)") .«1 +(-1)"), ((-1)". (n+3 2n3 \n+1, n3+1

A: SOLUTION-

Q: Does the sequence {n2 / 2n} converge or diverge?

A:

Q: 1 + 2n

A: Given query is to find the limit of the sequence.

Q: If $1000 is invested at 6% interest compounded annually, then after n years the invest- ment is…

A:

Q: Every pointwise convergent sequence is uniformly convergent sequence. ylgn İhi O

A: Solution  True Statement  Detailed Explanation :-

Q: Mention at least two applications of business administration where it is important to take into…

A: mathematics, sequence is a particular format of elements in a definite order. It is just an…

Q: п+5 (-1)". п а) An Ln(n³) b) an = (-1)". n3

A: EXERCISE 6. Determine if the sequence converges or diverges.Briefly justify

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

A:

Q: 1 -lean The sequence converges to - 2 Wn² -1-Vn² +n Select one: True To O False

A:

Q: A monotone sequence is convergent.

A: 1) If f is continuous on A then fn is also continuous  on A So The statement is true

Q: Does this mean the sequence is always convergent?

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

Q: Find x for which log 2, log (2" – 1), and log (2" +3) are three consecutive terms of the arithmetic…

A: If log2, log2x-1 and log2x+3 are three consecutive terms of of arithmetic sequence, then,…

Q: Find the sum using sigma notation

A:

Q: The model of exponential discounting cannot explain an individual's preference for an improving…

A:

Q: A monotonically increasing sequence diverges to o. Select one: O a. True O b. None of these O c.…

A: We have to check whether the given statement '' A monotonically increasing sequence diverges to…

Q: Converges conditionally

A: According to the question, we have to define the term 'Converge conditionally'. The term Converge…

Q: Is the sequence a, convergent or divergent? Exp n+1

A: The given sequence is

Q: 00 Ink

A:

Q: A monotonically increasing sequence diverges to oo. Select one: O a. True O b. None of these Oc.…

A: Since the monotonically increasing sequence either converges to a finite limit or diverges to ∞.

Q: Does the sequences converges or diverges ? (n) , (Ln¢), Ln(n)

A: We have to determine whether the given sequence converge or diverge.

Q: Is the sequence divergent or convergent? {vn - vn+1}

A: n  - n+1 =(n  - n+1) (n  +n+1 )/(n  + n+1) n  - n+1  = (n - n - 1)/(n  + n+1)  n  - n+1  =  - 1/(n…

Q: A monotonically increasing sequence diverges to 00. Select one: O a. True O b. None of these O c.…

A: This question is related to monotonic sequence property.....

Q: Determine whether the nonincreasing sequence converges or diverges. 5) an 1 +V8n n A) Converges B)…

A:

Q: getting an even number at the first die and a sum <7 is

A: Let us consider a random experiment when 2 dice are thrown, then we get the following sample space…

Q: A geometric sequence h starts at 16 and has a growth factor of 1.75. Sketch a graph of h showing the…

A: Given: To explain the given statement as follows, Here, The first term of the series, a=16 The…

Q: Briefly discuss the advantages or disadvantages to having a sequence defined based on a recurrence…

A: Sometimes, a sequence can be defined based on a recurrence relation and initial condition, rather…

Q: 8. Determine whether the sequence a, = n3" converges or diverges. 4n

A:

Q: Does the sequences converges or diverges ? ) , (Vm) , (n²e¯")

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Converges or diverges and it's sum of it diverges

A: Summation

Q: Every pointwise convergent sequence is uniformly convergent sequence.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: the sequence converges or diverges. {an} = {: 5n5 + 8n³ – 12 } %3D n3 +3n2 -7n + 8

A:

Q: 4. Which one of the sequences below is divergent?

A: Clearly in the first option degree of the numerator is greater than the denominator.

Q: The sequence (c} diverges.

A: To check whether the sequence diverges

Q: n! Determine whether the sequence 1.3.5... (2n - is convergent. 1)

A:

Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: Let an increasing sequence of non-negative, measur-

A: we will prove it by using the fatous's lemma

Q: n2 The sequence is 3 +1 = 1 Select one: a. Divergent b. Convergent 8.

A:

Q: Determine whether the sequence 5n is convergent 3n2 + 2n +1

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Q: The producat of two divergent sequences is divergent: :Select one a. TrueO b. FalseO

A:

Q: Use sigma notation to write the sum. (e) - e)-- )-E) 2n 2n

A: To solve this question we have to see carefully which term or terms is/are repeating. Then in sigma…

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…

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.