Which of the following sequence is divergent? en {"} (-1)*+1 n s n² In+1 } {-3}
Q: The sequence (tanh n) converges to2 Select one: True O False
A: To find the convergence of sequence
Q: Find a divergent sequence {an} such that {a2n} converges
A: Let us take: {an}= {-1, 1, -1, 1, -1, 1, -1, .......} This is an alternating series. So it diverges.…
Q: The value ofk that makes the following sequence is converge to * : (7/6) as n approach to infinity…
A:
Q: QI Prove directly from the definition that the following sequence converges. (-1)" +n+1 (CoN(n*) +…
A:
Q: 3. Show that the series In 2+ (-1)k-1 -(x – 2)* k2k k=1 from Example 3 diverges when x = 0 and…
A: The given series is ∑an = ln 2 + ∑k=1∞(-1)k-1k. 2kx-2k.Putting x = 0, the series reduces to ∑an = ln…
Q: 22: Establish the divergence of the sequence x, =(-1)"
A:
Q: Find the sum of the convergent series. 3+.
A: We need to evaluate the sum of the following convergent series 3+32+34+38+···········
Q: A sequence is defined by tn = tn-1 +2", and t1 = 1. Determine the fourth term in this sequence.
A:
Q: a) {(3N +17))(2N)} 10. Prove that the sequence {(-1)"} does not converge.
A:
Q: Show directly from the definition that the following is not Cauchy sequence. (-1)"\ n +
A: This is the question from the sequence and series.
Q: , Find the limit of this sequence, or else prove that the sequence diverges: (1- 3 In n an =
A: ANSWER
Q: 3.) Determine whether the sequence is monotonic and whether it is bounded. sin /n
A:
Q: I. Determine whether the following sequences are convergent or divergent. Then justify your answers.…
A:
Q: determine DFT for the sequence x(n) = [1,2,3,1]
A: Given: A sequence xn=1, 2, 3, 1. To find: Discrete Fourier transform of given sequence.
Q: Determine whether the following sequence converges or diverges. Inn | In(2n)
A:
Q: how whether the following infinite sequences converge or diverge : 00 {an} = 2) {bn} = {Vn6 + 12n³ –…
A:
Q: The sequence {5}"-1 is: is: 00 O Converges to 10 O Converges to Converges to 5 Diverges. H/5
A: The given sequence is: 5n=1∞
Q: Find the sum of the convergent series.
A: We have to find the sum of the convergent series: 8+6+92+278+................. up to infinite. So it…
Q: A sequence is defined by tn = tn-1+2", and t1 = 1. Determine the fourth term in this sequence.
A:
Q: 7. Give an example of two series, a, and bn that are divergent, however, (a, + bn) is convergent. WI
A:
Q: Compute the limit of the nth term and use it to explain why the series is divergent. +00 2" – 1 2 2n…
A:
Q: The sequence (tanh n} converges to2 Select one: True O False
A: This sequence converges to 1.
Q: Show that the series n" n' is convergent. Deduce that lim (2n)! (2n)! n=1
A:
Q: Σ N° 1) Show that the series converges/diverges.
A:
Q: A sequence is defined by tn=tn−1+3n and t1=1 Determine the fourth term in this sequence
A:
Q: What are the first 5 terms of each defined sequence and give their associated series. Complete…
A:
Q: Is {-(n2)} n=1 to infinity, a convergent sequence in R with the usual metric?
A:
Q: Show that the series n' (2n)! is convergent. Deduce that lim (2n)! n=1
A:
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: Find the sum of the convergent series tan - ( m til tan M=1
A: This is a telescoping series. Whose sum is 2/π
Q: Which one of the following sequences converges?
A:
Q: In 3n an = In 5n
A:
Q: The sequence {5}-15: is: n=1 Converges to 5 Converges to Diverges. Converges to 10
A: Solve the following
Q: Determine whether the sequence converges 1) а, 3D п sin
A:
Q: Inn en n=1
A:
Q: The series 3 k 1 3. is 3. convergent to O None divergent convergent to 3 convergent to
A: We have to solve
Q: What are absolute converging, conditional converging and divergent sequences ? 20) Z in 4)° sin an…
A: Hey, since there are multiple questions posted, we will answer first question. If you want any…
Q: Show that the sequence ffn}, where fnox) = ne is uniformly convergent nx+1 on [a, b], aso but is…
A: Given: fnx=nxnx+1 To show that the given sequence is uniformly convergent on a,b, a>0
Q: Show that (1/n²+ n+1)!nEN is a Cauchy sequence.
A: Solution :- The given sequence is an = 1/( n2 + n + 1 ) ; n belong to N .…
Q: The sequence {In(n+ 1)- Inn} converges to zero.
A: Please see the answer below
Q: The series from n=1 to infinity of n(n+4)/sqrt(n^3+5n^2. Does it converge or diverge?
A: Take n2 common from the denominator and then go ahead
Q: If possible, give an example of 2 convergent sequences an and bn such that E(an + bn) diverges.
A:
Q: Which of the sequences whose nth terms appear converge, and which diverge? Find the limit of each…
A: The sequence an=sinnπ. We have to check whether the given sequence converges or diverges. Also, find…
Q: For the sequence {a„}, with lim a, does not exist, this means the sequence diverges. Select one:…
A: 1. Let {an}∞n=0={(-1)n}∞n=0 is an oscillating sequence and for this:an=-1; n is odd1; n is…
Q: Determine if this sequence converges og diverges: n3/(cos n+ 5n)
A: We have to solve given problem: Concept:
Q: Suppose that an object starts with an initial velocity of v0(in ft/sec) and moves under a constant…
A: Given,
Q: Find the first fve terms of the sequence whose general term is defined in each item. Then, give its…
A: Explanation of the answer is as follows
Q: 3+5n 1. an n+n
A: the given sequence,an=3+5n2n+n2
Q: 4. Find the sum that the series 1 will converge. 27 -19
A: Given Information :
Step by step
Solved in 2 steps with 2 images
- Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!nFollow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n• In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of nthat ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 63. List the first six terms of the sequence. an=n33.5n2+4.1n1.52.4n
