Answered: Assume that the recursively defined…

Assume that the recursively defined sequence converges and find its limit. a, = - 17, an + 1 = /35 + 2an The sequence converges to (Type an integer or a decimal.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.3: Geometric Sequences

Problem 52SE: Use explicit formulas to give two examples of geometric sequences whose 7thterms are 1024.

See similar textbooks

Related questions

Q: Determine whether the sequence converges or diverges, if it is converges, find the limit. n а, n+1"

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

Q: converges or diverges. If

Q: Write the first five terms of the sequence, give the exact answer: +oo In+11) n=1 Determine whether…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: 11,1117,11172,11173.....

Q: Assume that the recursively defined sequence converges and find its limit. 15 a, = 1, an + 1-2+ an…

Q: Assume that the recursively defined sequence converges and find its limit. 10a a, = 10, an+1 (Type…

A: Use limit concept

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: In this sequence, we will get the succeeding term by multiplying 1/17 to the preceding term. Such…

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

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Given a sequence 11,1117,11172,11173,....

Q: Compute the first six terms of the sequence {an} = {n√n}. If the sequence converges, find its limit.

Q: Assume that the recursively defined sequence converges and find its limit. a1 = - 2, an +1 = /14 +…

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

A: The sequence We have to determine whether the sequence is convergent or…

Q: Determine the limit of the sequence an = (2n)^(3/n) or show that the sequence diverges. If it…

A: We have to check the convergence of the sequence an = (2n)3n.

Q: Assume that the recursively defined sequence converges and find its limit. 72 a, = 1, an +1 1+ an…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here we have to check the convergence of given sequence

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: The given sequence is; 3,3/11,3/112,3/113,....

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Given : an = 8n+7

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

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

Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: Consider the sequence n2 an = V2n4 + 5n + 3 Determine if the sequence converges or diverges. If it…

Q: Determine whether the sequence converges or diverges. If it converges, compute the limit. an =…

A: Use ratio test

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Analysing the sequence we can see: Numerator of the sequence is 9 in every term.…

Q: Assume that the sequence converges and find its limit. 72 a 1 = 5, a n+ 1- I+ an

A: Given that the sequence converges and the sequence is defined as a1=5, an+1=721+an. Let L be the…

Q: Assume that the sequence converges and find its limit. a 1 = 8, a n + 1 = VSan -8 64 8 1

Q: Please help

A: The given recursively defined sequence is

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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

A: If limn→∞an exists and is finite we say that the sequence is convergent. If limn→∞an doesn’t exist…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an=3n*7-n

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Solution is written in below steps.

Q: Write out first five terms of the sequences, determine whether, the sequence converges, and if so,…

A: We have to find the limit of the sequence and find first five terms

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

Q: 6n Determine if the sequence an 4(-1) converges or diverges. If it converges, compute its limit. If…

Q: Assume that the recursively defined sequence converges and find its limit. 8 a, = 3, an+1 2+ an The…

A: Solve the following

Q: Consider the sequence n2 an V2n4 + 5n + 3 Determine if the sequence converges or diverges. If it…

A: If the limit of the sequence is a finite number then the sequence is convergent otherwise divergent.…

Q: In(8n2 + 8) – In(n²

A: We have to test the convergence

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

Q: Assume that the recursively defined sequence converges and find its limit. a, = - 12, an - 1 = /24 +…

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

Q: Determine if the sequence is convergent or divergent. If it is convergent, find the limit: an = (1+…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Given that: nth term of the sequence is

Q: 2n 1+ n

A: Given limit is , limn→∞{(1+1n)2n} We know that, limn→∞{(1+1n)n}=e

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an-In(n 2)…

A: The nth term of the given sequence is,

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {2-(4/n)}…

A: See the details solution in below

Q: Determine whether the sequence converges or diverges. If its converges, find its limit {n3 / (n3 +…

A: Consider the given sequence, n3n3+4 Use the theorem which states that, if ∑an converges then…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

Q: Determine whether the infinite sequence converges or diverges. If it converges, find the limit.…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: This is a problem of sequence and series.

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

pls simple answer)

Assume that the recursively defined sequence converges and find its limit.
a, = - 17, an+1= /35 + 2a,
The sequence converges to
(Type an integer or a decimal.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

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!n
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 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
A sequence is a function whose domain is ____________.
Use explicit formulas to give two examples of geometric sequences whose 7thterms are 1024.