b. а, 3 3"

Q: determine the limit of the sequence or show that the sequence diverges. an = 21/n2

A: Given that, an=21n2

Q: Let (a,) be an unbounded sequence and (b,) be a convergent sequence. Prove that the sequence (a,-b)…

A:

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: What is the function that defines the following sequence?10,12,14,16,18

A: given sequence:-     10, 12, 14, 16, 18 This is an arithmetic sequence  since there is a common…

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

A: Given terms of sequence are  2, 1+12, 1+13, 1+14, 1+15,....

Q: {)}. k > 0 is constant number en

A:

Q: Determine whether the sequence converges In n 2) a, n

A:

Q: 1. {- },1- }. 4,– .} {}; 9 16 5' 6 16 25 5 6 : 25 7 3' 4 ? 2. 4 9 3' 4 ? :}

A:

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. az = 36, ag =…

A: Let we have a geometric series with first term a and common ratio r then the formula for the nth…

Q: In the given question as folows, write an expression for the nthterm of the sequence and then…

A: The given sequence is S=23,34,45,56,...............

Q: determine whether the sequence is monotonicand whether it is bounded. an = (3n + 1)/(n + 1)

A: To check the given sequence is monotonic: Consider Take derivative; We see that the first…

Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: 2. Determine whether the following sequences or series are arithmetic, geometric, or neither.…

A: We have to find if the given sequence is geometric, arithmetic or neither.

Q: 3/Inn h=3

A:

Q: Determine if the following sequences are monotonic and bounded.  If they are bounded, what are the…

A: given sequence is                                                    an=10nn graph of the sequence…

Q: Find with explanation, a diginacci sequence that has no term equal to 11

A: Consider the given explanation. A diginacci sequence is defined as. The first two terms are any…

Q: is Determine if the following sequences converge or diverge. If they converge, determine what they…

A: NOTE: Refresh your page if you can't see any equations. . find the limit

Q: 4. Is the following sequence convergent? Explain why. tn = n+2 n(n+1)

A:

Q: This is a sequence, which test should I use and is it convergent/divergent? Explain. {(-1)n (n+1),…

A: This is a sequence which test should I use and is it convergent/Divergent? {(-1)n(n+1)!/3n!}…

Q: Determine whether the sequence with  an = n*e-n for n = 1, 2, 3, . . . is increasing, decreasing,…

A:

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: Find the limit of the following sequence or determine that the sequence diverges. Van? + 7

A:

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

A: Write the terms a1, a2, a3, a4 of the sequence to investigate whether the sequence converges or…

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

A: Here the given sequence

Q: 3" b) а, 2"+5

A:

Q: 1. Determine if the sequence converges or diverges and show how you arrived at the conclusion In n…

A:

Q: determine whether the sequence is monotonic,whether it is bounded, and whether it converges. an = (n…

A:

Q: The following sequence is geometric: -1, 1, -, . O True O False

A: Given the geometric sequence−1,12,14,−18

Q: n! {(-1)" (2n)!,

A: Given sequence is -1nn!2n!

Q: Let {a,} be an infinite sequence with the property that 0 < a, < for all n 2 1. Calculate lim,-00…

A:

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

A: sequence converges

Q: Which of the following are geometric sequences? Select all correct answers. Select all that apply: O…

A:

Q: Determine the nth term for a sequence whose first five terms are 2 8 26 80 242 2' 6 24 120 and then…

A:

Q: a [미] = (1)”u [미?

A: We should find the autocorrelation of the sequence.

Q: Find r for the infinite geometric sequence. Determine whether the sum will converge. 4, 8, 16, 32, .…

A:

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: a, = 5+!

A: Given the sequence: an=5+1n

Q: Does there exist an example?or show that none exists . A sequence that tends to infinity and has a…

A:

Q: Let (a,) be an unbounded sequence and (b„) be a convergent sequence. Prove that the sequence (a,-b,)…

A: In this question, we use the method of contradiction to prove the desired result.

Q: Determine the limit superior and limit inferior of the following sequences how to find the…

A:

Q: determine whether the sequence is incraesing ,decresing or not monotonic . isthe sequene bounded…

A: Given,

Q: 5) Determine whether the sequence converges or diverges. If it converges, find the limit. n3 An n +

A: Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: n! %3D an 2n

A: We have to check weather the given sequence is increasing, decreasing and neither in nature.

Q: determine if the sequence converges or diverges 8,108,208,308,408,…

A: Given:- 8,108,208,308,408...... To find:- Determine given sequence divergent or convergent

Q: Determine whether the sequences converge or diverge 1. {ne"}n=1 2. n=1

A:

Q: 2" Consider the sequence defined by a, %3D n! (a) Is this sequence monotonic? Explain. (Hint: apply…

A:

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 if each of the sequences converges or diverges. If it converges, state to what. Clearly…

A: We havean=n−5n−1

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.