Find the common ratio of the geometric sequence 18,-72,288,...

Answers

Answer 1

Answer:

The common ratio of the geometric sequence is -4

Step-by-step explanation:

Geometric Sequence

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

[tex]a_n=a_{n-1}*r[/tex]

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

[tex]\displaystyle r=\frac{-72}{18}=-4[/tex]

Make sure it's a fixed number and test with the third term:

[tex]\displaystyle r=\frac{288}{-72}=-4[/tex]

Since both numbers coincide, the common ratio of the geometric sequence is -4


Related Questions

$24 lunch;15% tip.
I NEED HELP

Answers

Answer:

3.60

Step-by-step explanation:

The amount of tip will be $3.6.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.

The total amount will be calculated as:-

Amount of tip = 24 x 15%

Amount of tip = 24 x 0.15

Amount of tip = $3.6

Hence, the tip amount will be $3.6

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Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?

Answers

Answer:

45 minutes

Step-by-step explanation:

If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.

The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,

Rate of Jerry = 1/1 room per hour

                      = 1 room per hour

Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,

Rate of Jake = 1/4 room per hour

Now, the rate at which they two will work together is,

Rate of working together = 1 + 1/4 room per hour

                                           = 5/4 room per hour

Further, the time it will take for the two of them to frame a room working together is,

Time = 1/Rate

         = 4/5 hour

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What is 1/20 written as a percent
0.5%
5%
10%
20%

Answers

Answer:

the answer is 5 percent

Answer: 5%

Step-by-step explanation:

1/20 = 5/100

5/100 = 5%

Convert into linear equations

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The slack variables make up the difference between the sum of the utilizations and the limit. A separate slack variable is needed for each limit. As with the other variables, its minimum value is zero.

For ( ) ≤ lim constraints, the slack variables are on the left side of the equal sign:

  ( ) +s ≤ lim.

__

For ( ) ≥ lim constraints, the slack variables can be on the right side of the equal sign:

  ( ) = s + lim

The more usual representation in a linear programming matrix is ...

  ( ) - s = lim

__

Here, your constraints are "≤", so each equation will have a unique slack variable added to the left side sum.

Beverly wants to make 2 1/2 recipes of play clay for her daughter’s birthday party. How much salt will she need in all?

Answers

Answer:  D

Step-by-step explanation:

To find the answer for this problem, you will need to convert all the terms into improper fractions. Since you want 2 1/2 of the recipe, you need to multiply by 2 1/2.

2 1/2 = 5/2

3 2/3 = 11/3

And then you would multiply and solve:

5/2 * 11/3 = 55/6

55/6 = 9 1/6

The answer is D :)

Answer:

There are 3 2/3 teaspoons of salt

Step-by-step explanation:

The graph of y = x4 - 2x2 + 1 is shown.

Answers

Answer:

the answer is89 why 838+3838+3838×908=72

Convert 13/2 to a decimal using long division.

Answers

Answer:

6.5

Step-by-step explanation:

Divide 13 by 2 to get 6.5

Answer: 13/2 = 6 with a reminder of 1

Step-by-step explanation:  Attached image should show you my work.

Write the slope intercept form of the equation of the line through the given point with the given slope.

1) through: (3,4), slope = 2


2) through: (5,-5), slope=-6/5

Answers

Answer:

1) y = 2x-2

2) y = -6/5+1

Step-by-step explanation:

Can someone help me plzzz algebra isn’t my strong suit

Answers

Answer:

1. 21+5f = 61

2. 18+5n=50.50

3. 40+30s=220

Step-by-step explanation:

1. SUM of 21 and 5 TIMES a number f is 61

From that sentence, sum means addition and times is multiplication, so:

21+5f = 61

2. Let's identify the given:

Monthly fee: 18

Cost of each call: 5

Variable that symbolizes the call: n

Total cost this month: 50.50

Thus, 18+5n=50.50

3. Identify the given:

Charge of tutor: 40

Charge of tutor every student: 30

Variable representing the number of students: s

Total charge: 220

Thus, 40+30s=220

700 borrowed using a simple interest for 6 years at a rate of 5%, what is the interest amount?

Answers

Answer:

210

Step-by-step explanation:

I= p x r x t

I = 700 x 5/100 x 6

I= 700 x 0.05 x 6

I= 210

Find the perimeter of the figure

Answers

Answer:

Answer=2[tex]x^{2}[/tex]+9x+2

Step-by-step explanation:

to find the perimeter of any shape you add all the lengths of it so,

(-[tex]x^{2}[/tex]+4x)+(3[tex]x^{2}[/tex]+5)+(5x-3)

(you add all same terms together)

=(-[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])+(4x+5x)+(5+(-3))

=2[tex]x^{2}[/tex]+9x+2

Help please I’m stuck on a few of these

Answers

Answer:

27

Step-by-step explanation:

Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.

Hope this helps!

INVERSE FUNCTIONS

If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.

BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.

A group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket​

Answers

Answer:

each ticket is $8.75

Step-by-step explanation:

c=8$8.75

The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.

What is the equation that can be used to determine the cost of each movie ticket?

Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon

50.50 = 6C - $2

Combine similar terms

$50.50 - $2 = 6C

$48.50 = 6C

Divide both sides of the equawtion by 6

C = $48.50 / 6

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What is 4 + 8m < 2 (2m
4)

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu

Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.

Answers

Answer:

Step-by-step explanation:

complex roots always occur in pairs.

roots are 1,2-2i,2+2i

P(x)=a(x-a)(x-b)(x-c)

P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]

=1(x-1)[(x-2)+2i][(x-2)-2i]

=(x-1)[(x-2)²-(2i)²]

=(x-1)[(x-2)²-4i²]

=(x-1)[x²-4x+4-4(-1)]

=(x-1)[x²-4x+4+4]

=(x-1)[x²-4x+8]

=x³-4x²+8x-x²+4x-8

=x³-5x²+12x-8

You have acummulated $85,000 in student loans that average 5% interest

Answers

Answer: The student will have to pay $900 per month including intrest and a portion of principal

Select two ratios that are equivalent to 27: 9.

Answers

Answer:

3:1 and 9:3

Step-by-step explanation:

27 divided by 9 is 3

27 divided by 3 is 9

9 divided by 3 is 3

Compare 167.4 and 167.462.

Answers

Answer: <

Step-by-step explanation:

167.4=167.40 so 167.462 is greater. It’s correct. Trust me.

Why is this number not in scientific notation?

36.5 x 10 6

Answers

If that is supposed to be 10 to the power of 6 I believe it’s 36500000

-3x - 8 = 10

Help. solve for X

Answers

Answer:

x= -6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

can i have brainlest pls

Add the fractions. Write your answer as a mixed number 3/5+4/5

Answers

Answer:

Step-by-step explanation:

3 + 4 = 7.

the denominator stays the same. You only add the numerators.

7/5 in mixed number form is 1  2/5  because 7 goes into 5 once. so kinda like 7 - 5 = 2.  and the 2 goes on top now.

Simplify the following problem.
(-8+61) +(6+61)

Answers

Answer: -8+61 = 53 and 6+61 = 67

A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).

x
y
0
0
15
3
30
6

Assuming there is a proportional relationship, which additional set of values could be included in the table?

Answers

Answer:

100,70 is the answer I took the test

Answer:

The  answer is A ppl

Step-by-step explanation:

Simplify 4(3x - 1) = 2(6 + 2x)
14x - 13
8x -16
8 + 16x
14x + 13​

Answers

Answer:

8 + 16x

Step-by-step explanation:

What is 7+7 and 9-12

Answers

Answer:

Step-by-step explanation:

7+7= 14

And

9-12= -3

7+7=14 and 9-12=3 hope this helped!

11.
What must the slope of a line be if it is parallel to the line
12x + 8y = -6?
A) –
B)
C) 1
D) -12
3
WIN
2
o
A
O
B
С
o o
D

Answers

Answer:

A) -3/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Write equation

12x + 8y = -6

Step 2: Write in slope-intercept form

Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4

Step 3: Find slope

Slope of a parallel line always has the same slope of the original line.

m = -3/2 (Original)

m = -3/2 (Parallel)

At the movie theatre's a medium, 44 oz., coke costs $8.80. What is the price per ounce?

Answers

2 cents per ounce.

Work

$8.80 divided by 44

Please help me! I’ll name you brainiest!!!

Answers

Answer:

80

Step-by-step explanation:

first, put in (5x-4) for the x in g(x).

g(f(x))=(5x-4)^2 -1

now, FOIL and simplify.

25x^2-40x+16-1

25x^2-40x+15

now, plug in -1 for x.

25(-1)^2-40(-1)+15

25+40+15

80

PLZ HELP FAST GIVING 50 points and brainliest

Answers

Answer:-0.253624

Step-by-step explanation:

Answer:

0.253624

Step-by-step explanation:

Between which two consecutive integers does 85 square lie

Answers

Answer:

:)

Step-by-step explanation:

9 & 10

go add the snap carmel.bratz

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