(1+v5)"-(1-v5)" 2"V5 The nth term of the sequence in number 1 is given by an and the ratio, 4n, between two consecutive terms of this sequence converges to a special an-1 number which is referred to as the golden ratio. Which of the following is the exact value of the golden ratio? 1 – V5 - 2 Option 1 Option 2 1+ V5 1 O Option 3 O Option 4
Q: 29–38 - Terms of a Geometric Sequence Determine the common ratio, the fifth term, and the nth term…
A: Dear student, since you have posted multiple questions, as per our policy we will answer first…
Q: 1. Determine whether the sequence converges or diverges. Explain why. If it is convergent, find its…
A: we have to find the limit of the given sequence
Q: The nth term of a sequence is given. Calculate the first five partial sums.
A: Given that, an=12n+5
Q: The nth term of a sequence is given. Calculate the first five partial sums.
A: Given, an=1n+1, ⇒a1=12,a2=13,a3=14,a4=15,a5=16
Q: (– 1)"9 - For the sequence an n2 its first term is its second term is its third term is its fourth…
A:
Q: (i) Show that the sequence {2-1}=11 nis monotonic. (ii) Is it bounded above and/or below? Give a…
A:
Q: 1. Which sequence converges? 3 (А) а, 3 п+- (-1)" sin 2 (A) (B) a, = -1+- (C) a, = п n! (D) а, 3D 3"…
A: Sequence
Q: The nth term of a sequence is given. Calculate the first five partial sums.
A: Given: an=1(n+3)(2n+1)
Q: 3. Divergent or convergent sequences. For each of the sequences below, enter either di- verges if…
A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…
Q: (1+V$)"-(1-v5)" 2" V5 - and the The nth term of the sequence in number 1 is given by a, ratio, d,…
A:
Q: + 1 converges to 2 'n+ The sequence an n-1 Select one: True O False
A:
Q: (n + 2) - n sequence converges to a+2) -星 sequence does not converge.
A:
Q: 1 The sequence converges to - 2 Un² - 1 - Vn² +n Select one: O True False
A:
Q: 4. If ak is a nonnegative sequence and E,ak converges then 2k=1@ki aki subsequence of a. 5. If Eak…
A: 4.it is true ,since
Q: A twon has a population of 5000 persons, but is expected to grow by 2% every year. a. What would be…
A: Note: Thank you for the question. As you have posted multiple questions, we have solved the first…
Q: 3 : - 5 7 Consider the sequences 1; - .Which of these statements is correct? :- - 8. 11 A. The…
A:
Q: The nth term of a sequence is given. Calculate the first five partial sums.
A:
Q: (-1)" Find the least upper bound and greatest lower bound of the sequence n=1
A:
Q: Find the 20th term of the sequence: 1/3, 1, 3, 9, … Use the sequence formula to find the sum of the…
A: 1) Given data: The given sequence is: 1/3,1,3,9……. The given sequence is in geometric…
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: An+1 2аn + 1 An 1 || How do I solve if this sequence converges towards a single value or diverges…
A: Given, an+1=2an+1an=1
Q: a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What…
A: Given: A town has a population of 5000 persons and is expected to grow by 2% every year. The…
Q: oblem 8. aj = a2 = a3 = 1 and an = an-1 + 2an-2 – an-3, for all n 2 4. Find the first siz terms of…
A:
Q: 12 Find the first 10 terms of the sequence an = n its 9th term is its 10th term is
A: Our Aim is to find the first 10 terms of the sequence an=12n-(i)
Q: Does the sequence converge or diverge? Give a reason for your answer. an = (5(– 1)" + 9) ( ) %3D…
A:
Q: ogress Incorrect. Find the general term of the sequence, starting with n = 1, determine whether the…
A:
Q: State whether the sequence, whose nth terms are indicated, is bounded and whether it is eventually…
A: let an=n9n
Q: If two positive sequences {a„} and {b„} converge, then the sequence always converges. b Select one:…
A:
Q: I am very confused about this chapter and specifically on how the homework is breaking the problems…
A: Given sequence is
Q: (1+v$)"-(1-v5)"| 2"V5 The nth term of the sequence in number 1 is given by a, and the ratio, ,…
A: Given an = 1+5n-1-5n2n5 and the ratio anan-1 converges to the golden ratio.
Q: Prove that the sequence Un = 2n - 7/ 3n + 2 is monotonically increasing.
A: To prove that the given sequence un=2n-73n+2 is monotonic increasing. For that will prove that…
Q: Find the indicated term of the geometric sequenc 4 5th term of 4. -- 5' 25 ... Enter the 5th term of…
A: Given series is in geomentric sequence is 4,45,425,.....we know that nth term of this series is…
Q: SUM of the first 48 terms of the sequence given below: -11, –7, –3, 1. The sum of the first 48 terms…
A: Sequence is { -11, -7, -3, 1, 5, .........} This is an Arithmetic Progression, where first term…
Q: 10 ) State whether the sequence, whose nth terms are indicated, is bounded and whether it is…
A:
Q: Does the sequence converge or diverge? Give a reason for your answer. 6+ 5n an Select the correct…
A: The given sequence is: an=6+5nn =6n+5 So, a1=11a2=9.24a3=8.46a4=6...
Q: For each of the following sequences: • identify if the sequence is arithmetic, geometric or…
A: (i) if the sequence is arithmetic ⇒an=a+(n-1)dwhere a=first term of sequence ,n=number of…
Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…
A: an = (n − 3)! / n!
Q: 5 2n Determine if the sequence {4} converges or diverges. If it converges, find its limit: 3n 7…
A: To determine the limit of the sequence.
Q: town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What wound be…
A: Since you have asked multiple question, we will solve the first question for you . If you want any…
Q: { 2 An – 4 converges to 7, then the - If the sequence An + 2 sequence {an} converges to 9.
A:
Q: all subsequences of a sequence converge, then the sequence itself converges. true or false
A: Topic:- algebra
Q: Determine whether the sequence (3n)/(4n-1) converges or diverges. Show all necessary calculations…
A: Given an=3n4n-1
Q: 9). State whether the sequence, whose nth terms are indicated, is bounded and whether it is…
A:
Q: 3n 2. Find the first 6 terms of the sequence defined by an = n+1 Does it have a limit? n² + 4n + 5…
A: Consider the sequence,
Q: determine wether or not the sequence converges an=ln(2n+1)-ln(2n)
A: The solution are next step..
Q: (1+v5)"-(1-v5)" The nth term of the sequence in number 1 is given by a,n and the 2" V5 ratio, ,…
A:
Q: an always converges. If two positive sequences {an) and {b,) converge, then the sequence Select one:…
A: Let the given sequence an converges to a and bn converges to b.
Q: (1+v5)"-(1-v5)" 2"V5 The nth term of the sequence in number 1 is given by a, and the ratio, ,…
A: Given- an=1+5n-1-5n2n5 To Find- The golden ratio which is defined as the anan-1.
Step by step
Solved in 2 steps with 1 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