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

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)

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.

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.

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

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

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

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]

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

Please answer correctly.

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

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

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)

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

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?

−7 increased by a number n is 12

Equation:

Solution: n=

What does 1.5 times more than x mean?

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.

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

( -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

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.

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

Please copy and paste then add ur answer thx
1. =
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PLZ help HOMEWORK 100 ÷ 5 x 4 + 4 to the power of three

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

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

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

Heyyyy how are yalllllllllllllllll!! :)​

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​

Help!
serious answers only please!!!

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 ?

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