The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).8, 20,50,...Find the 10th term.

Answers

Answer 1

The value of the 10th term of the geometric progression is 30517.578

Based on the information given,

First term = 8

Second term = 20

Common ratio = 20/8 = 2.5

The nth term of a geometric progression is calculated as:

= ar[tex]n[/tex] - 1

The 10th term will then be:

= 8 × (2.5)[tex]9[/tex]

= 8 × 3814.6973

= 30517.578

Therefore, the value of the 10th term of the geometric progression is 30517.578.

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Answer 2

The 10th term of the geometric sequence is: 30,715.578.

In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio q.

The equation for the nth term is:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem:

The first term is [tex]a_1 = 8[/tex].The common ratio is:

[tex]q = \frac{50}{20} = \frac{20}{8} = 2.5[/tex]

Thus, the nth term is given by the following equation:

[tex]a_n = 8(2.5)^{n-1}[/tex]

The 10th term is:

[tex]a_{10} = 8(2.5)^9 = 30517.578[/tex]

The 10th term of the sequence is 30,715.578.

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Related Questions

help me my people plzzzzzzzzzzz

Answers

Answer:

31,500

Step-by-step explanation:

Hope this helps!


Which of the following numbers are divisible by 8?
a) O 2048
b) O 72 045
c) O 800
d) 56 120

Answers

a, c, and d can all be divided by 8
D because 56 and 120 are both divided by 8

It couldn’t be a because although 2048 is divisible by 8 zero isn’t

This is the same for a b and c who all have zeros in them. The only one without is d

Therefore the answer is d

4. Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the
week beforeThis is a result of...
Sunk cost

Overconfidence

Endowment effect

Answers

Answer:

Endowment effect

Step-by-step explanation:

Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.

This is a result of the endowment effect.

Given,

Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.

We need to find whether it is a result of

- Sunk cost

- Overconfidence

- Endowment effect

What are the endowment effect and Sunk cost?

The endowment effect is the effect of placing a higher value on an object

they own than the value on the same object they did not own.

The sunk cost is a cost that has already been incurred and that cannot be

recovered.

We have,

Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.

Here,

We are talking about the same item $20.

Losing $20 is losing what Michael owns.

Finding $20 on the sidewalk is not what Michael owns.

And the pain of losing $20 which he owns is more than the joy of finding it on the sidewalk so,

The Endowment effect is found here.

Thus,

Michael observed he felt the pain of losing a $20 bill more than he felt the joy of finding it on the sidewalk the week before.

This is a result of the endowment effect.

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Are the points O, M, and U collinear?


.


Choose 1 answer:

Yes

No

Answers

Answer:

No

Step-by-step explanation:

Because they're not lying on the same straight line

Somebody help

The graph shows the calling charges of two cell phone companies. At how many minutes do the two companies charge
20
18
cell phone
company A
16
14
+
+
10
Charges
cellphone
company B
10 20 30 40 50 60 70 80
Time (minutes)
OA 0
OB. 15
OC 20
OD 40

Answers

Put it to more points longer the question is so n00000

0


help fill the blanks!!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

blank 1 - AD = DC

blank 2 - Angle ADB = Angle CDB

blank 3 - BD = BD

blank 4 - SAS

blank 5 - AB = BC

1. Molly had 995 ants in her ant farm. She lost 267 of the ants. How many ants does she have now? Answer Statement: Molly has 723 ants left Equation and Strip Diagram: 995-267-728 Strategy and Solution: 728 99115 267 728​

Answers

Answer:

idj

Step-by-step explanation:

getting points

Answer:

723 IT IS BECAUSE IF U TAKE OUT 267 FROM 995 THEN THE NUMBER LEFT WILL BE 723

HOPE IT HELPS

Mr. Chan places $4000 in a bank as a fixed deposit for 2 years. The bank offers an interest compounded yearly. At the end of 2 years, he receives a total of $4243.60. Find the interest rate.

Answers

Answer:

Step-by-step explanation:

Mr. Chan originally placed 4,000 in the bank as a fixed deposit for 2 years.

Each years the bank added a certain amount of interest.

At the end of the 2 years he gained 243 dollars and 60 cents just from interest.

How to solve:

Simply take away the 4 in the amount of money

Leaving: $243.60

( 2 years )

Now divide 243.60 by 1/2

which is 121.8

Mr.Chan got 121.8 worth of interest a year

$10.5 a month

$2.3 a week

6 cents a day

All in 2 years.

Is 93.936 a rational number and can someone please explain how to know if it’s rational or not:)

Answers

Answer:

ofcs it's rational number

Step-by-step explanation:

this is bcs this number '93.936' do not contain recurring decimals

NEED HELP ASAP!!
find the measure of the angle.

Answers

Answer:

85 degrees

Step-by-step explanation:

only answer 9 or 11 or both please I want to sleep :(

Answers

Answer:

9 11

But are you okay? It spells 9-1-1.

write a number in standard form where 7 is in the tenths place

Answers

Answer:

30.75

Step-by-step explanation:

Hope this helps!

123.7 hope this helps!

Simplify the expression 3/2(5/3)−1 1/4+1/2 . Given the answer as a simplified fraction.
The simplified expression is a/b .

Answers

Answer:

3/2(5/3) - 1 1/4 + 1 1/2

= 11/4

Step-by-step explanation:

Solve the equation
cb – 20 = –10 for b.

Answers

ANSWER: B = 10/C
You have to isolate the variable by dividing each side by factors that don’t contain the variable

What’s the value?? HELPPPP

Answers

Answer:

ok well I think it is 16

Step-by-step explanation:

because the parentheses first 2 x 2 x 2=8

then we have the outside of the parentheses 2, 8x2=16

so I think the answer is 16

Let's see

[tex]\\ \rm\rightarrowtail (2^3)^2[/tex]

(a^m)^n=a^mn

So

[tex]\\ \rm\rightarrowtail 2^{3(2)}[/tex]

[tex]\\ \rm\rightarrowtail 2^6[/tex]

[tex]\\ \rm\rightarrowtail 64[/tex]

1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)

Answers

I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

What is Equation of line?

The equation of the line in slope-intercept form is expressed as:

y - y₁ = m(x - x₁)

where: m is the slope.

and (x₁, y₁) is the point on the line.

1. Given that;

Equation of the line as y = -x

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - (-8) )

y - 2 = x + 8

y = x + 8 + 2

y = x + 10

Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,

⇒ y = x + 10

2.  Given that;

Equation of the line as y = -x

Point as (8, 2)

Get the slope of the line,

y = -x

m = -1

Since, The required line is parallel to this line,

So, the required slope will be -1

Now, Get the required equation as,

y - y₁ = m(x - x₁)

y - 2 = 1 ( x - 8 )

y - 2 = x - 8

y = x - 8 + 2

y = x - 6

Hence, The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

Thus,

1. The equation of the line which is parallel and goes through the point (-8, 2) is,

y = x + 10

2. The equation of the line which is parallel and goes through the point (8, 2) is,

⇒ y = x - 6

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Point A lies on a number line at 6. Point C lies between points B and A at 1.875. The ratio AC : AB = 3 : 5. What is the length of A B?

A. AB = 15 units
B. AB = 8.75 units
C. AB = 6.875 units
D. AB = 11 units

Plz Answer ASAP! Thank you!

Answers

Answer: C, 6.875 is the correct answer

Step-by-step explanation:

AC = 6 - 1.875 = 4.125

AB = 5/3 * 4.125 = 6.875

The measure of AB is 6.875. Therefore, option C is the correct answer.

Given that, the ratio AC: AB = 3: 5.

What is the ratio?

In mathematics, a ratio indicates how many times one number contains another.

AC = 6 - 1.875 = 4.125

AB = 5/3 * 4.125 = 6.875

Therefore, option C is the correct answer.

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help.....please please ​

Answers

Answer:

An equilateral triangle is shown in the image. An equilateral triangle has 3 angles of 60 degrees in order to equal 180 degrees which is the definition of a triangle.

Gain is calculated on the selling price. t or false​

Answers

Answer:

true its true ..

Step-by-step explanation:

we can know our profit or loss by our selling price

mark me brainiest if helped!

Step-by-step instructions: Profit or loss is always calculated on the basis of the cost price. The discount is calculated on the marked price or the list price.

Why is y=3 a polynomial function?

Answers

Answer: y=3 is a polynomial function? Yes. The equation y=3 represents the function that maps all x values to 3

Step-by-step explanation:

The equation y= 3 represents a horizontal line, which will have exactly one intersection point with any vertical line. So it passes the vertical line test for a function too.

graph{y=3+0.0000001x [-10, 10, -5, 5]}

Express 0.7 as a fraction. A) 7 1 B) 1 7 C) 7 10 D) 7 100

Answers

Answer:

C) 7 10

Step-by-step explanation:

Answer:

g is your answer lolllllll

Problem D: PRAMHW Jade's softball team went to the batting cages for practice. Jade hit 28 out of 30 pitches. If she goes back after practice for 100 more pitches, how many would you expect her to hit? Round your answer to the nearest hit​

Answers

Answer:

93

Step-by-step explanation:

Direct proportion.

If 28 out of 30, how many out of 100?

(30*100)/28= 93.3333

In laissez-faire economics, what is the role of the government in the economy?

Answers

Answer:

In a laissez-faire economy, the only role of the government is to prevent any coercion against individuals.

Step-by-step explanation:

HOPE IT HELP

At a community center, you want to rope off an area that id adjacent to a building. The length of the building is 10 ft. You have 42 ft. Of rope. What are the possible widths of the roped off area.

Answers

Answer: 1 by 20, 2 by 19, 3 by 18, 4 by 17, 5 by 16, 6 by 15, 7 by 14, 8 by 13, 9 by 12, 10 by 11.

Help please! I need this done soon

Answers

Answer:

y = 3

Step-by-step explanation:

It has to be parallel to the x axis

the coordinates to the point is (6,3)

so to be parallel to x-axis y must always be 3 in this question

so y = 3 is the answer

Have a nice day! :-)

Help! I’ll mark brainly list but please explain!!

Answers

the answer is 4 [9.75] + 2 (6.25) + 4.75

u would find the price of the movie tickets and popcorn. since your only buying one water, u don’t need to multiple the price by anything.

whats the reciprocal to 2 3/8?

Answers

Answer:

8/19 would be the answer to this question.

I hope this helped you! :)

Answer:

8/19

Step-by-step explanation:

Given x, the reciprocal is 1/x.

Given 2 3/8, we first rewrite this as an improper fraction:  19/8, and then invert this result:  8/19

Evaluate a2b2c2 for a = 2, b = 3, and c = 4.

Answers

2 • 2 • 3 • 2 • 4 • 2
multiply those and u get 192!!

Answer:

576

Step-by-step explanation:

Substitute the variables and solve.

[tex]a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576[/tex]

please respond quickly plz and thank you at least by 2:38

Answers

Answer:

bru im confused

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because I think it makes sense if I'm wrong I'm am very sorry

Pls help, and quick pls!!!

Answers

Answer:

A) 1/3

B) 3

Step-by-step explanation:

PART A: To calculate the scale factor reduction going from the large shape to the small shape you have to use the equation SF reduction = small/large. Using the figures on the side of the shape I need to have 3/9, which simplifies to get 1/3. This is the final answer.

PART B: To calculate the scale factor enlargement going from the small shape to the large shape you have to use the equation SF enlargement = large/small. Using the figures on the side of the shape I need to have 9/3, which simplifies to get 3. This is the final answer.

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