. Calculate to four decimal places the first few terms of the sequence and use them to plot the graph of the sequence by hand. Argue Explain whether the sequence appears to have a limit or not. 2n 2. an = 1+ (-1)". n+4

Q: Which of the following is the limit 00 of the sequence {a,},where an = 3? 3 8

A: The objective of the question is choose the correct option.

Q: Find the limit of the sequence with the given nth term.  an = 6 + 2/n2

A: Given sequence is an=6+2n2. If ∑n=1∞an converges, then limn→∞an=0.

Q: ind the general term of the sequence, starting with n = 1. etermine whether the sequence converges,…

A: Follow next step

Q: Find the value of the limit for the sequence given | 1-9-17 (9n+1) (9n)

A: Given,          The limit for the sequence given as 1·9·17....9n+19n2

Q: Find the limit of the sequence with the given nth term. 3n + 5 an 3n

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. (15n + 1)! (15n)!

A:

Q: 7n 7 An бп + 1

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {5(-1.01)n}

A:

Q: Show that the sequence defined by  a sub 1= 1  and  a sub n + 1 = 3 - (1/ a sub n) is increasing and…

A:

Q: Determine the limit of the following sequence. If the quantity diverges, Enter DIVERGES. In(n3) an=…

A: Given sequence is an=lnn34n To find limn→∞an.

Q: Whst is the exact value of the limit of the sequence (7^(n+1)-7)/7^n?

A:

Q: Determine the limit of the following sequence and prove your claims a. an=n/n2+1 b. bn = 7n-19/3n+

A:

Q: Explain: e is really the limit of a sequence, and the value usually stated, 2.71828… is a numerical…

A:

Q: Find the limit of the sequence with the given nth term. 5n + 7 5n

A: we have givenan =5n+75n

Q: Find the limit of the sequence with the given nth term an = (n + 1) /n

A: an = (n + 1) /n We need to find the limit of the given sequence.

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: Find the limit of the following sequences or determine that the sequence diverges.

A: Given sequence {bn}, where     bn=nn+1      if n≤5000ne-n       if n>5000   If the limit exists…

Q: Find an explicit formula for the general term an of the sequence. (1,-1/3,1/5,-1/7,...)

A:

Q: 2. Find the limit of the following sequences or determine that the sequence diverges. For credit,…

A: a Consider the given limit  2n3+nn3-4

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

A: Given, an=n+1n     Find the Limit of the sequence:

Q: Find the limit of the sequence with the given nth term. an = n + 3/n

A: We are given

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 5/1 , 7/2 ,…

A: The detailed solution is given below Thank you

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −6 such…

A:

Q: The nth term of a sequence, represented by an, is called the______ term.

A: Given, The nth term of a sequence, represented by an

Q: Find the limit of the sequence as n approaches infinity: Зп - 5 an 2n + 9

A:

Q: Let the sequence be defined by the formula an=5n−3. For what value of n is an=97

A:

Q: Use a-a, to show that the given sequence {a,} is strictly increasing or strictly decreasing. b)…

A:

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.

A:

Q: Find the limit of the sequence as n approaches infinity: In – 8 an = 9п + 1

A:

Q: 5) Consider the sequence whose terms are s1 = 3.1, s2 = 3.14, s3 = 3.141, s4 = 3.1415, . continue on…

A: Given problem Given that   Consider the sequence whose terms are  s1 = 3.1 s2 = 3.14 s3 = 3.141 s4…

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: Find the limit of the sequence with the given nth term an = 2n /√(n2 + 1)

A: The given sequence is an=2nn2+1. Compute the limit as follows.

Q: Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly…

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {(n5+3n)/(10n3 +…

A: The given function is n5+3n10n3+n According to the question, we need to assure that the given…

Q: » calculate: The limit of the sequence a, = 2n n+1

A:

Q: Write a formula for the nth term of an of the sequence and determine its limit (if it exists).…

A:

Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Given the convergent sequence a1=3, an+1=8+2an. The objective is to find the limit of the given…

Q: Find the limit (if possible) of the sequence with the given nth term. (If an answer does not exist,…

A: To find the limit of the sequence we take n→∞.limn→∞an

Q: Find the limit of the following convergent sequence. 72 a, = 4, an+1 1+ an О А. 5 В. 3 О С. 8 D. 4

A:

Q: Write an explicit formula for the sequence using the first five points shown on the graph. an an 12…

A:

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 2/1, 5/2,…

A:

Q: Find the limit of the sequence πρὖ + 4 πρ4 +5 c3 - 2e { where - e CER+ and n " cn+1 - ne 0 for any…

A:

Q: Find the limit of the following sequences, showing all necessary work. State whether the sequence…

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {(n3)/(n4 + 1)}

A: n3n4+1

Q: Find the limit of the following convergent sequence. a1 =2, an+1= /8+2an O A. 8 В. 4 С. 2 O D. 6

A: Solution

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

A: The given sequence isn2e-8n

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −3 such that…

A: Our Aim is to find a formula an for the nth term of the arithmetic sequencewhose first term is a1=-3…

Q: Suppose you know that {a,} is an increasing sequence and all its terms lie between the numbers 3 and…

A: We have an increasing sequence an and all its terms lie between the numbers 3 and 6. We have to find…

Q: =(-1) 你十2

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.