The sequence converges to a limit of 1/2.
We have,
Let's simplify the nth term of the sequence:
an = (n^2 + 3n) / (2n^2 + 5)
Dividing both the numerator and denominator by n^2, we get:
an = (1 + 3/n) / (2 + 5/n^2)
As n approaches infinity, the terms 3/n and 5/n^2 both tend towards zero.
Therefore, we have:
an = (1 + 0) / (2 + 0) = 1 / 2
The nth term of the sequence simplifies to a constant value of 1/2 as n approaches infinity.
Since the nth term converges to a specific value (1/2), the sequence itself is convergent.
The limit of the sequence is 1/2.
Thus,
The sequence converges to a limit of 1/2.
Learn more about sequence convergence here:
https://brainly.com/question/29394831
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The complete question:
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the sequence diverges, enter DIVERGES.)
Consider the sequence defined by the nth term an = (n^2 + 3n) / (2n^2 + 5).
Write a positive or negative integer that represents the situation.
An elevator goes down 8 floors.
Turn - Find the value of e
(4w - 6)
+
Find the value of each variable
Three students attempt to define what a line segment is.
Answer:
Duru's definition: A line segment is a line connecting two endpoints. Oliver's definition: A line segment is when three points are all on the same line.
if there are 7 fish and 3 drown how many are left?
Answer:
7
Step-by-step explanation:
there are 7 left because fish can't drown
13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y
Answer:
2x-10 = 65-xStep-by-step explanation:
just add up both alternate internal angles as they are both equal
so, the equation is: 2x-10 = 65-x
Answer:
The right equation will be 2x - 10 = 65 - x (you were wrong lol)
Step-by-step explanation:
We have: 2x - 10 = 65 - x
=> 2x - 10 + x = 65
=> 3x = 65 + 10 = 75
=> x = 75/3 = 25
P/S: After some little chats with the others, this might be wrong :(
QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)
Answer:
a) Vf = at + Vi
b) 10 m/s
Step-by-step explanation:
Part A:
first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi
now bring the Vi over to the other side and flip the sign: at + Vi = Vf
this can be rewritten as Vf = at + Vi
Part B:
substitute the numbers: Vf = (2)(3) + 4
solve to get: Vf = 10 m/s
If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?
Answer:
Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!
Step-by-step explanation:
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
Answer:
1.2in
Step-by-step explanation:
Answer:
(1) 1.2 inches
- 8 3/4 devided by 2 1/6
Answer:
-105/26 or -4 1/26−4.03846153846 …Step-by-step explanation:
Depending on what answer
you need, the decimal is −4.03846153846,
the improper fraction is -105/26 and the mixed number is -4 1/26
Hope this helps! <3
3cm
3cm
8cm
13cm
in the diagram above, the curved part is a Semi-
Circle. Find the area of the shaded portion
and correct your answer to 3 significant
figure.
Answer:
can u attach the diagram
Step-by-step explanation:
HELP ME PLEASE IM ALMOST TO 100
Answer:
= 3/4
Step-by-step explanation:
Find 2 points on the graph
(2,3) and (6,6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-3)/(6-2)
= 3/4
need quick aaaaaaaaaaaaa
Answer:
5.0 x 10^4
did the thing this is right
Is ABC= A DEF? If so, name the congruence postulate that applies.
Answer:
Congruent ASA
Step-by-step explanation:
We are given 2 angles and 1 side length. In order, first there is the angle, then side length, then another angle. The ASA postulate says that the triangle will be congruent.
A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:
Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8
Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?
Answer and explanation:
Please find attached answer and explanation
Can someone please help, ty!! (Will mark brainliest)
[tex]\large\underline{\bf\red{Solution:-}}[/tex]
Given two points are :-
( -1 , 3)( 0 , -5)So , we know Two point form into equⁿ using a formula , which is
[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]
So, on substituting respective values ,
=> y - 3 = (-5-3)/0-(-1) × ( x - 3)
=> y - 3 = -8/1 ( x - 3)
=> y - 3 = -8x +24
=> 8x + y -27 = 0
(4.3 x 10^-3)(2 x 10^-2) in standard form
Answer:
8.6•10^-5 or 0.000086
• Number Sense Write an addition
sentence and a multiplication
sentence to solve this problem.
Jessie bought 4 packages of colorful
stones to put in the fish bowl. There
are 6 stones in each package. How
many stones did Jessie buy?
Answer:
addition sentence is 6+6+6+6=24
multiplication sentence is 6×4=24
Step-by-step explanation:
hope this helps
A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)
Answer:
Step-by-step explanation:
Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]
[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]
where:
n = 26
k = 5
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]
[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]
Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen
Ronald and Tim both did there laundry today Ronald does laundry laundry every 6 days and Tim does laundry every 9 days how many days will it be until Ronald and Tim both do there laundry on the same day again
Answer: 18 brainiest plz
Step-by-step explanation:
First, it is the principle of LCM (Least Common Factor) so for 6 we go 6,12,18
Then 9,18 so 18 days
Answer:
18
Step-by-step explanation:
HELP! Will be giving branliest!!!!!!
A is the right anwer to your Question because of the Hours and weeks
v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary
Answer:
c
Step-by-step explanation:
c because
Which line of poetry is marked correctly with weak and strong beats?
Answer:
2nd answer
Step-by-step explanation:
It has a lot of strong beats and the rhythm sounds better than A and C.
If cost of 3 kg of sugar is Rs 240. What is rate of cost of sugar
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.
Answer:
649
Step-by-step explanation:
Given that
Mean number of dresses is 5.5
Standard deviation of the sample, S.D is 1.3
Margin of error, M.E is 0.1
Level of confidence is 95% or 0.95
The formula for margin of error, M.E is
Z * (S.D/√n) , where
Z = Value for level of confidence which is 1.96
Proceeding further, we have
0.1 = 1.96 * (1.3/√n)
0.1 = 2.548 / √n, making √n subject of formula, we have
√n = 2.548 / 0.1
√n = 25.48, squaring both sides
n = 25.48²
n = 649.23
Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649
If 30% of the pupils in a school are boys, what percentage of the pupils are girls?
Answer:
70%
Step-by-step explanation:
Quickkkk!!!!!!!! Help
Answer:
2143
Step-by-step explanation:
PLEASE HELP :’( last one
Answer:
A.3
Step-by-step explanation:
find the value of x
The answer is 150.
I need to show my work.
THANKSSSS
Answer:
x = 150
Step-by-step explanation:
We know a circle is 360°, so the angles must add up to 60°.
Step 1: Set up equation
x - 120 + x - 120 = 60
Step 2: Solve for x
Combine like terms: 2x - 240 = 60Add 240 on both sides: 2x = 300Divide both sides by 2: x = 150Step 3: Check
Plug in x to verify it is correct.
150 - 120 = 30°
150 - 120 = 30°
30° + 30° = 60°
60° + 300° = 360°
Question
5°F - 32)
The function to convert Fahrenheit to Celsius is °C = (°F) =
The inverse function will
9
convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how
determining this inverse is different than determining the previous inverses.
The inverse function is °F = -(°C)=
The F and °C (select) V need to be switched like the x and y did in the previous functions.
(select) degree measures, and because of the real-world relationship, switching them
(select) ✓ make sense.
Answer:
[tex]F = \frac{9C + 32}{5}[/tex]
Step-by-step explanation:
Given
[tex]C = \frac{(5F - 32)}{9}[/tex]
Required
Determine the inverse function
[tex]C = \frac{(5F - 32)}{9}[/tex]
Make F the subject of formula:
Multiply through by 9
[tex]9C = 5F - 32[/tex]
Add 32 to both sides
[tex]9C + 32= 5F[/tex]
Divide through by 5
[tex]\frac{9C + 32}{5}= F[/tex]
[tex]F = \frac{9C + 32}{5}[/tex]
Kelsey has $550 is her bank account and withdraws $25 per week from her bank account. Kris has $10 in his bank account and each week he deposits $15 of his allowance and $20 earned from dog walking into his bank account. After how many weeks do they have the same amount of money?
Answer:
13 weeks they both have $ 225
Step-by-step explanation: