The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?

an = -3 · 2 n - 1
an = -3 · (-2) n - 1
an = 2 · (-3) n - 1
an = -2 · (-3) n - 1

Answers

Answer 1

Answer: an = -3 · 2^n - 1

Step-by-step explanation:

In a geometric series, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

an = a1 × r^(n - 1)

Where

a1 represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

Looking at the given sequence,

a = - 3

r = - 6/ - 3 = 2

Therefore, the formula for the sequence is

an = - 3 × 2^(n - 1)


Related Questions

Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half?
A.
$60.30
B.
$70.00
C.
$75.10
D.
$100.10

Answers

Answer:

The answer to your question is A

Answer:

A. 60.30

100.50 plus 20% of it is 120.6 divided by two is 60.3

What does 1.5 times more than x mean?

Answers

whatever x is times 1.5

Answer:

X times 1.5

Step-by-step explanation:

Ex; x times 1.5 = n

why does the Separatists wanted to establish their own colony in New England?

Answers

Answer:

it was the Puritans the ones who established it.

Step-by-step explanation:

Answer:

Separatists wanted to establish thir own colony in New England because they were scared of the protects caused by the Loyalits. Aslo, it was the patriots who wanted their own conlony in America. Not the Separatists.

Step-by-step explanation:

Heyyyy how are yalllllllllllllllll!! :)​

Answers

I’m doing good ig you could say

Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
p = 1
p = q
q = 1
pq = 1

Answers

Answer:

p=q

Step-by-step explanation:

for example if your paying 2 dollars for every 1 item the ratio would be 2:1

PLEASE HELP ME FAST!
4. Simplify. Show your work and write your answer as a mixed number in the simplest form.

1 1
---- x 5 ------
2 4

if you didnt know what i wrote its : 1/2 times 5 1/4

Answers

Answer: 5/8

Step-by-step explanation:

5 1/4= 21/4

1/2 x 5 = 5/2

5x1/2x4

5/8

the answer is 5/8❤️❤️❤️❤️❤️

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

A. 0.10q+0.25d=2.85
q+d=18

B. 0.10q+0.25d=18
q+d=2.85

C. 0.25q+0.10d=2.85
q+d=18

D. 0.25q+0.10d=18
q+d=2.85

Answers

Answer: A. 0.10q+0.25d=2.85

q+d=18

Step-by-step explanation:

The system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag is q+d=18 and 0.25q+0.10d=2.85.

Given that, a bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85.

We need to find which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag.

What is the system of equations?

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

The number of quarters, q, and the number of dimes, d, in the bag.

Now, the number of quarters + the number of dimes=18

⇒q+d=18

The total value of the coins is $2.85.

So, 0.25q+0.10d=2.85

Therefore, the system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag is q+d=18 and 0.25q+0.10d=2.85.

To learn more about the system of equations visit:

https://brainly.com/question/21620502.

#SPJ6

Multiply.
−2
1
2•3
3
4
−2
1
2•3
3
4=nothing ​(Type an​ integer, proper​ fraction, or mixed​ number.)

Answers

Answer:

-3 × -2 = 8 (or in other words, 8.25.)

Step-by-step explanation:

Answer:

8.25

Step-by-step explanation:

i hope is help

PLZ help HOMEWORK 100 ÷ 5 x 4 + 4 to the power of three

Answers

Answer:

144

Step-by-step explanation:

(100/5) x 4 + ( 4 to the power of 3 ) = 144

Hope that helps you.

Step-by-step explanation:

Applying BODMAS.

Division first,100÷5=20

Multiplication next,20×4=80

Then addition,80+4=84

Raised to the power of three,(84)^3=592704

( -20 , 14 ) and ( 30, 18)
Can someone show me how to do it? This is the example the teacher gave us m = y^2 - y^1 / x^2 - x^1
Plug in 22 - 10 / 5-2
Subtract 12 /3 because 22- 10 = 12 and 5 -2 = 3
Divide m = 4

Answers

Answer:

2/25 if this is slope.

Step-by-step explanation:

so y^2 refers to the y coordinate of your second point and the same for y^1, but for the first point. Then you want to subtract those. In this one, it would be 18 - 14 = 4. Once you get that, do the same thing for the x coordinates. Ex: 30 - (-20) = 50 (something minus a negative is like addition). Then put your y answer over your x answer as a fraction and simplify. Ex: 4/50 -> 2/25. This is your answer.

Hope this makes since and helps!

I think 2/25 is the answer but I’m not sure.

Ross needs buy a countertop for a laundry room. He calculated the area to be 12 square feet. The actual area is 11.8 square feet. What is Ross's percentage error? 1.02% 1.69% 20% 98%
ANSWER ASAP

Answers

Answer:

20%

Step-by-step explanation:

1) 11.8 - 12 = 0.2

2) turn 0.2 into a percent

0.2 = 20%

mark brainliest if helped :)

An ice sculpture is melting because of heat. Assuming its height changes bynegative 5 over 32m every hour, what will be the change in height after 4 hours? negative 20 over 8 meters 5 over 8 meters negative 5 over 32 meters negative 5 over 8 meter. ANSWER ASAP

Answers

Answer:

-5/8

Step-by-step explanation:

To solve you would do - 5/32 times 4/1 to get 20/32, then you would simplify to get 10/16, then you would simplify that to get - 5/8.

Which function is equivalent to h(x)=10x2+9x-1?

A. h(x)=(x-1)(10x+1)

B. h(x)=(x+1)(10x-1)

C. h(x)=(10x+1)(x+1)

D. h(x)=(10x-1)(x-1)

Answers

Answer:

i think the answer is c

Step-by-step explanation:

The equivalent function is [tex]h(x)=(x+1)(10x-1)[/tex]option B is correct.

Important information:

The given function is [tex]h(x)=10x^2+9x-1[/tex].

We need to find the equivalent function.

Equivalent expression or function:

The given function can be written as:

[tex]h(x)=10x^2+10x-x-1[/tex]

[tex]h(x)=10x(x+1)-1(x+1)[/tex]

[tex]h(x)=(10x-1)(x+1)[/tex]

[tex]h(x)=(x+1)(10x-1)[/tex]

Thus, the correct option is B.

Find out more about 'Equivalent expression or function' here:

https://brainly.com/question/1192525

Help!
serious answers only please!!!

Answers

Answer:

a

Explaination:  

a i thinkkkkkkkkkkkkk

Are the lines x=2 and y=4 parallel?

Answers

Answer:

no i think

Step-by-step explanation:

No, but they would be perpendicular

Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.

Who climbed a steeper mountain? Explain.
and please don't just put nonsense. only answer if you know. i am only giving 10 points for this.

Answers

joe ???????????????????????
Joe climbed the highest because he climbed the most above the base.

Please copy and paste then add ur answer thx
1. =
2. =
3. =
4. =
5. =
6. =
7. =
8. =
9. =
10. =

Answers

Answer:

You're lucky that I did all of it before I saw your profile.

1. Temperature

2. is

3. total

4. average

5. is

6. particles

7. same

8. thermal

9. energy

10. temperature

Step-by-step explanation:

Stop cheating points.

Don't answer if you're not sure what the answer is. Thanks!

Answers

D is the answer I’m pretty sure

Describe how the graph of is the same and different from the graph of .
Explain or show your reasoning.

Answers

I would’ve helped you out but I don’t see a graph sorryyy
Well- we can rlly help bc we can’t see the graph

Rosemary is driving to Chicago, and she is 84 miles away. She wants to arrive in 1.5 hours. What rate of speed will she have to maintain to arrive in that time?


Rosemary needs to maintain 126 mph.

Rosemary needs to maintain 56 mph.

Rosemary needs to maintain 65 mph.

Answers

Answer:

rosemary needs to maintain 65 mph

Step-by-step explanation:

Answer:

Rosemary needs to maintain 56 mph in order to arrive in Chicago

Step-by-step explanation:

−7 increased by a number n is 12

Equation:

Solution: n=

Answers

-7+n=12 n= 19. hi hi hi

Answer:answer is 19

also GOOD LUCK !!!

The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality?

A. X
B. y
C. 5.5
D.[tex]\frac{1}{5.5}[/tex]

Answers

C.5.5
The constant rate of change (m)is the same as constant of proportionality so y=Mx+b rate of change would be m. In this case 5.5

The rectangle shown has a perimeter of 82 cm and the given area. Its length is 5 more
than five times its width. Write and solve a system of equations to find the dimensions of
the rectangle.
The length of the rectangle is
cm and the width of the rectangle is
cm.

Answers

I need the area. Sorry without it I can’t solve

Givethanks, an Indian, wants to have a turkey dinner. He and his “dog”, Wolf, go looking for a turkey. While on this turkey hunt, they come across a field of corn. Givethanks just has to have some of the corn and picks some to take home. While in the corn field, Givethanks spots the biggest turkey he has ever seen and captures it. On the way home to his village, Givethanks and Wolf come to a river where there is a small boat that will only fit Givethanks and one other thing. Now, Givethanks wants to get Wolf, the turkey and the corn across the river, but Wolf will eat the turkey if they are left alone and the turkey will eat the corn if it is left alone with the corn.


Your Task: Figure out how Givethanks will get Wolf, the turkey and the corn across the river. You must show how you feel he can accomplish this task. explaining how you feel you can accomplish this task.
If anyone can give me like a idea how bec I don’t know

Answers

Answer:

put him and the turky on the boat and have wolf swim across the river with the corn

Step-by-step explanation:

brainleiest plz

Please answer correctly.

Answers

Answer:

20 3/4

Step-by-step explanation:

3.25-1.25 is 2

10 x 2 + 3/4

10 x 2 = 20

20 3/4

Answer:

b. 20 3/4

Step-by-step explanation:

10(3.25-1.25)+3/4

subtract (3.25-1.25)=2

10(2)+3/4

multiple 10(2)=20

add 20+3/4=20 3/4

I hope that helps

Which of the following statements could be true regarding the bar diagram? (C = candies, M = mints)
A.There are the same number of candies as mints
B.There are a total of 44 candies and mints.
C.There are 4 more than twice as many candies as mints
D.There are 10 mints.

Answers

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Tyler’s brother works in a shoe store.

a) Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?

b) The store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?

c) Tyler’s brother earns $12 per hour. The store offers him a raise—a 5% increase per hour. After the raise, how much will Tyler’s brother make per hour?

Answers

Answer:

His commission was 22.5

Step-by-step explanation:

Answer:A=22.5

b=40%

c=12.6

Step-by-step explanation:

a is 900/100=9, 9x2.5

b is 100/50 = 2, 2x80= 140%, 140%-100%= 40%

c is 12/100=0.12, 0.12x105=12.6

which equation represents a liner function that has a slope of 4/5 in the Y intercept of -6 y = -6x + 4/5 y = 4/5 x - 6y = 4/5 x + 6 Y = 6x + 4/5​

Answers

43.87 ???????????????????????
The answer is
Y= 4/5x -6

Which is y = mx + b form
mx = slope
B = y- intercept

At Sami's Shoe Warehouse, it takes fraction 4 over 5 of a day to complete fraction 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers? 6 days 8 days Mixed number 11 and 1 over 4 days Mixed number 12 and 1 over 2 days. i needs help asap

Answers

Answer:

8

Step-by-step explanation:

ive seen all your questions, also sure your in a hurry so ill just post the answer cause thats  wat you need

mark brainliest if this helped :)

Rick started his retirement account with \$5,000 when he was 23. When he retired at age 65 , he had 2.2 * 10 ^ 6 dollars in his retirement account . How many times greater was his account when he retired ?

Answers

Answer:

A

Step-by-step explanation:

If you do the 2.2 * 10 ^ 6 you would get 2,200,000 then divide that by 5000 and put it in scientific notation which would be 4.4 * 10 ^ 2

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