Consider the sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis

Which statement describes the sequence?

The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to ∞.

Answers

Answer 1

Answer:

Its Actually C, just took the quiz right now

Step-by-step explanation:

Answer 2

The sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis, is a converging sequence, that converges to 1.

Hence, the 3rd option: "The sequence converges to 1.", is the best choice.

What does converging and diverging mean?

Converging signifies a movement toward something. Diverging denotes moving away from something.

How to solve the question?

In the question, we are given a sequence: Three-halves, four-thirds, five-fourths, six-fifths, ellipsis.

This can be shown as 3/2, 4/3, 5/4, ...

The general term of this series is (n + 2)/(n + 1).

As it is going on continuously to infinite,

The term can be shown as:

[tex]lim_{n\rightarrow \infty }\frac{n + 2}{n + 1} \\= lim_{n\rightarrow \infty }1 + \frac{1}{n+1} \\=lim_{n\rightarrow \infty }1 + lim_{n\rightarrow \infty }\frac{1}{n+1} \\= 1 + 0 \\= 1[/tex]

Thus, we can see that the sequence, gradually moves to a point. Thus it is converging in nature.

Also, the point it converges is 1.

Hence, 3rd option is the best choice.

Learn more about converging and diverging sequences at

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Related Questions

Question 3: If you're expected to pay a 20% down payment on a $300,000 house, how much money are you paying upfront?

Answers

Answer:

I'm pretty sure the answer is 250,000 dollars.

Step-by-step explanation:

I' sorry if it isn't right I tried my best.

Algebra 2 Please Help

Answers

Algebra 2 is the third math course in high school and will guide you through among other things linear equations, inequalities, graphs, matrices, polynomials and radical expressions, quadratic equations, functions, exponential and logarithmic expressions, sequences and series, probability and trigonometry.

Simplify: 5!

A. 5

B. 20

C. 120

D. 240 ​

Answers

Answer:

it would be 5

Step-by-step explanation:

I don't have an explanation I just know it is 5

I miiiiighhhhtttt need more helpppp

Answers

Answer: 5
Explanation: 16 divided by 2 equals 8 and 10 divided by 2 is 5, just trust me

can u pls help me with this question asap ​

Answers

$6692.50

hope this helps

HELPPPP PLEASEE. IT IS DUE IN 20 MIN. THANK YOU SO MUCH! :)

Answers

Answer:

A.) 65x + 35X + 50 = 250

65x = cost of concrete per cubic yard, x is yd³

35X = cost of pouring/finishing concrete per cubic yard, X is yd³

50 = delivery cost

250 = the money you have

B.) 400 + 15n = 505

15n = amount of money you deposite per week, n is # of week

400 = some money in account after n week passed

505 = initial money in bank

C.) 1.1X - 10 = 55

55 = total cost of clothes

1.1X = tax rate where X is the undiscounted clothe cost

10 = discount


How do I solve this

Answers

Answer:

Step-by-step explanation:

I'm sorry forgot how to exactly solve it

Convert the decimal below to a fraction in simplest form.
0.386
And show work

Answers

Answer:193/500

Step-by-step explanation:

When using the substitution method to solve the system of equations,
what is the result of the first step?
y = 2x + 4
2x + 3y = 8

Answers

Answer:

B

Step-by-step explanation:

This is due to the fact that the first equation is saying it is equal to y so you replace the y variable with the equation

Answer:

since y=2x+4 just substitute y with 2x+4

2x + 3(2x+4) = 8

so the answer is B

What is the value of x?

Answers

I don’t necessarily know if these two figures are supposed to be congruent or not but if they are here
Answer: X=23
Explanation: 23-4 is congruent to 19

The figure below shows a triangle with one of its angle bisected. Find x.

Answers

Answer: x = 2

Explanation:

Angle 1 = Angle 2 (Bisected Angle are equal)

Angle 1 + Angle 2 = Angle FDE

angle 1 = 27x
Angle FDE = 55x - 2

Since Angle 2 = Angle 1

We can write:

Angle 1 + Angle 1 = Angle FDE
27x + 27x = 55x - 2
54x = 55x - 2
54x - 55x = -2
-x = -2
x = -2/-1
x = 2

what is 14x three over seven​

Answers

Answer:

6

Step-by-step explanation:

Mary drove from her home to the library. After she left the library, she drove to the park. After that, she drove home. The map shows the path she took.
What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.


How far did Mary drive?


a 10 miles
b 14 miles
c 24 miles
d 28 miles

Answers

Answer:

c

Step-by-step explanation:

I I don't even know why it seems I just chose that because

The distance between (4, 3) and (9, 15) on the coordinate plane is 13 units.

What is the distance between two points?

The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁)².

We have to determine the distance between (4, 3) and (9, 15) on the coordinate plane.

As per the question, the required distance would be as:

distance = √ (9 – 4)² + (15 – 3)²

distance = √ (5)² + (12)²

distance = √ (25 + 144)

distance = √ 169

distance = 13 units

Learn more about the distance between two points here:

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Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.

Store
Promotional Offer
A
$75 instant rebate
B
10% off sale
C
5% off sale plus store pays sales tax
D
a “no tax” sale—the store pays the tax

Which store has the best deal?

Answers

C is because would you rather have 5 percent off or 5 percent off

Answer:

c

Step-by-step explanation:

someone else said c and i got it right

PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!

Answers

x is greater than -5

If AABC~ADEF, what is the scale factor of AABC to ADEF?

Answers

Given:

[tex]\Delta ABC\sim \Delta D E F[/tex]

[tex]AB=18,BC=21,AC=24,EF=7[/tex]

To find:

The scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex].

Solution:

We have,

[tex]\Delta ABC\sim \Delta D EF[/tex]

So, side BC is the corresponding side of EF.

Now, scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is

[tex]\text{Scale factor}=\dfrac{\text{ Side of }\Delta D EF}{\text{Corresponding side of }\Delta ABC}[/tex]

[tex]\text{Scale factor}=\dfrac{EF}{BC}[/tex]

[tex]\text{Scale factor}=\dfrac{7}{21}[/tex]

[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]

Therefore, the scale factor of [tex]\Delta ABC[/tex] to [tex]\Delta D EF[/tex] is [tex]\dfrac{1}{3}[/tex].  

Find the slope of the line through each pair of point
11. (-4, -3) and (7, 1)
12. (-2, -1) and (8, -3)

Answers

Answer:

11) 4/11

12) -0.2

Step-by-step explanation:

14k²+49k+21 factorise

Answers

Answer:

(2k+1)(k+3)

Step-by-step explanation:

14k²+49k+21

simplify by dividing the whole equation by 7

2k²+7k+3

factorise

(2k+1)(k+3)

A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of
the following amounts?
1 lb
3/4 lb
1/4 lb

Answers

Answer:

1 lb=2 batches     3/4 lb=1 1/2 batches     1/4 lb= 1/2 a batche

Step-by-step explanation:

1x2=2   b

3/4x2=1   1/2   b

1/4x2=1/2   b

b=batches

A 7 footlong board is propped against wall of a house. The board forms a 60 degree angle with ground. How far is the bar of board from the wall

Answers

Answer:

3.5 foot

Step-by-step explanation:

To find the distance from the wall, you will need to use cosine:

cos 60 = x / 7

x = 3.5 foot

need help asap please!!

Answers

Answer:

EF = 7

Step-by-step explanation:

the two triangles shown are congruent triangles

we know this because they share the line FD

and DE and DG are both 5

so the length two sides are definitely congruent, this means that the third side will also be congruent

the third side would be FG and EF

FG is 7 so then EF is 7

Answer:

EF is 7                

Step-by-step explanation:

Key skills needed: Triangle Congruence

1) We need to find out The length of EF

2) To find this, let's use Congruence of Two Triangles

The triangles that we can prove congruent are Δ DFG and Δ DFE

3) Both share the side DF, so we have one side

Both have a right angle, < FDG is a right angle, and < FDE would also be right angle (you can prove this as ---> < FDE is supplementary to a right angle, and therefore it would also be a right angle)

Both share a congruent set of sides (GD and DE both are 5)

4) With the 3 things above we can say -->  Δ DFG ≅ Δ DFE with SAS (side-angle-side)

5) This means that corresponding parts would be congruent.

FG ≅ EF. This means EF would be the same length as FG. Since FG is 7, then EF would be 7.

Hope you understood and have a nice day!! :D

What is 1+1-1+1-1-1+1 i need to know

Hello guys, my questions keep on being taken down so this is just a tester question,

Answers

Answer:

1

Step-by-step explanation:

A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar

Answers

Answer:7043.82

It would be 4200 x 1.09 which is the interest to the power of 6 for the number of years which would then give you 4200 x 1.09^6. This will then give the answer of 7043.82

Do this worksheets if someone do I will make him or her brainly if correct.

Answers

Answer:

[tex]1) \frac{37.5}{100} [/tex]

[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]

[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]

[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]

[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]

What percentage of the students in the survey have a car? A. 22% B. 38% C. 40% D. 60% E. 61​

Answers

Answer:

D) I hope this helps you out :)

Which angle is congruent to

Answers

Answer:

ps is congruent to qr if that's what your asking

if m ∟n, solve for x. (x + 21) (3x + 9) giving brainliest

Answers

Answer:

x=15

Step-by-step explanation:

Add the two equations together because there is a 90 degree angle. You can add the two to get :

4x+30=90

-30 from both sides

4x=60

Divide by 4 on both sides to get your answer!

x=15

Answer: X = 15

I think you can give brainiest to the person above me now

I know it's really late but :)

ian invested $100 in an account paying an interest rate of 9 1/4% compound daily. Addison invested $100 in an account paying an interest rate of 9 3/8% compounded monthly. After 13 years, how much money would addison have in her account than Ian, to the nearest dollar?

Answers

Answer:

$5.67, or $6 rounded to the nearest dollar.

Step-by-step explanation:

To determine the amount that both Ian and Addison will have in their respective accounts after 13 years, knowing that they both invested $ 100 in accounts with daily compound interest, but Ian did it in one with an interest of 9.25% while Addison did it in one with a interest of 9.375%, the following calculations must be made:

Ian = 100 x (1 + 0.00925 / 365) ^ 13x365

Ian = 332.79

Addison = 100 x (1 + 0.009375 / 365) ^ 13x365

Addison = 338.46

338.46 - 332.79 = 5.67

Therefore, Addison will have $ 5.67 more than Ian after the investment term.

Which of the following is an arithmetic sequence?
A ){1,3,6,10,15,…}
B) {−6,1,8,15,22,…}
C) {64,32,16,8,4,…}
D) {1,2,4,8,16,…}

Answers

...........The answer is C

Noel rides his bike in 270 minutes. What is the average speed in mph

PLZZ HELP ASAP

Answers

Answer:

how is that college math

Step-by-step explanation:

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