Find the explicit rule for the geometric sequence of 3, -6, 12, -24

Answers

Answer 1

Answer:

The n-th term of this sequence is 3(-2)^(n-1)

Step-by-step explanation:

Term 1 = 3 = 3 X 1 =. 3(-2)^0

Term 2 = -6 = 3 X (-2) = 3(-2)^1

Term 3 = 12 = 3 X (-2) X (-2) = 3(-2)^2

The first term is 3, and every subsequent term is the previous term multiplied by -2.


Related Questions

Evaluate sin^2 θ for θ = 45°

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value , then

sin²45° = [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex]

7. If four times a number plus 3 is 11, what is the number?
A. 4
B. 2
C. 5
D. 16

Answers

Answer:

B

Step-by-step explanation:

Cause....

11-3=8

8/4=2

Answer:

B: 2

Step-by-step explanation:

To get this answer, you would do:

11-3 = 8

then divide it by four, resulting in this as your answer :

8/4 = 2

Best regards!

5. (08.02 MC) Which of the following graphs shows a pair of lines that represents the equations with the solution (3, -6)? (1 point)​

Answers

Answer:

Hello, it appears you did not attach an image that would provide the necessary information for me to answer your question. I cannot see the graphs, so I'm afraid unless you present a photograph, I'm cannot help you. If you show me the graphs, I'd be more than happy to help you!

Step-by-step explanation:

Solve for the x variable

Answers

Answer:

5x-5.2=7.3

5x=7.3+5.2

5x=12.5

x=12.5÷5

x=2.5

Answer: x = 2.5

Step-by-step explanation:

Try to get x by itself

5x - 5.2 = 7.3

5x = 7.3 + 5.2

5x = 12.5

x = 12.5 / 5

x = 2.5

help me pls! PLS PLS PLS I NEED IT

20 points
options are x, x^9, x^4, and x^6

Answers

Answer:

x^4

Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

Find the volume of a rectangular prism
with a width of 9 cm, a length of 11 cm,
and a height of 8 cm.

Answers

Answer:

792 cm

Step-by-step explanation:

Volume is length x width x height so
11 x 9 x 8 is 792

Which numerical expression represents the following calculation?
Add the quotient of 35 and 5 to the product of 2 and 6.

Answers

Answer:

19

Step-by-step explanation:

Given the expression:

Add the quotient of 35 and 5 to the product of 2 and 6.

Quotient of 35 and 5 :

35 / 5 = 7

Product of 2 and 6 :

(2 * 6). = 12

Adding the result of the both calculations :

7 + 12 = 19

Writing the expression together :

35/5 + (2 * 6)

7 + 12

The top three oil producers in the United States in a certain year were the Gulf of Mexico, Texas, and Alaska. The three regions were responsible for 64% of the United States oil production. The Gulf of Mexico and Texas combined for 47% of oil production. Texas produced 3% more than Alaska. What percent of United States oil production came from these regions?

Answers

Answer:

27% of United States oil production came from Gulf of Mexico.

20% of United States oil production came from Texas.

17% of United States oil production came from Alaska.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Gulf of Mexico produced x%.

Texas produced y%.

Alaska produced z%.

The three regions were responsible for 64% of the United States oil production.

This means that:

[tex]x + y + z = 64[/tex]

The Gulf of Mexico and Texas combined for 47% of oil production.

This means that [tex]x + y = 47[/tex].

We use this to find z.

[tex]47 + z = 64[/tex]

[tex]z = 64 - 47 = 17[/tex]

17% of United States oil production came from Alaska.

Texas produced 3% more than Alaska.

Then:

[tex]y = z + 3 = 17 + 3 = 20[/tex]

20% of United States oil production came from Texas.

Gulf of Mexico

[tex]x + y = 47[/tex]

[tex]x = 47 - y = 47 - 20 = 27[/tex]

27% of United States oil production came from Gulf of Mexico.

The price of Chumps sweat pants just went on sale for 20% off. If the regular price was $80, what is
the sale price?

Answers

The price of the chumps sweat pants will be $64.00

Answer:

20/100 * 80=16

80_16=64$

Step-by-step explanation:

Help me pleaaaaaseeee​

Answers

a = 28.356 ≈ 28.4

Here, we use law of sines, which says that sina / A = sinb / B. We know that b = 130 degrees, B = 10cm, and A = 6.2cm. Using algebra, we solve sina / 6.2 = sin130 / 10 to get a final answer.

Graph x=2.5 will do anything

Answers

Okay, so you're going to go along the line that goes side to side, and then find positive 2. It'll be on the right side. From there, go half way in and insert a line going up and down.

Bam! You've got yourself x= 2.5 graphed!

Answer:

O ma god. dat many tabs open!!!! xD

Step-by-step explanation:

It's on da graph

The sixth graders at Wood Creek Middle School are selling bags of popcorn and candy bars for a fundraiser. The ratio of the total amount of popcorn sold to the total amount of all snacks sold is 4:9.

Select the statement that is correct about snacks sold.

1.The ratio of popcorn sold to candy bars sold is 4:13.


2.The ratio of total snacks sold to popcorn sold is 9:4.


3.The ratio of candy bars sold to total snacks sold is 9:5.


4.There are 4 bags of popcorn sold for every 9 candy bars sold.

Answers

Answer:

the ratio of total snacks sold to popcorn is 9:4

Answer two questions about Equations A and B:

A. 5x = 3x

B. 5 = 3

1) How can we get Equation B from Equation A?

A. Add/subtract the same quantity to/from both sides

B. Add/subtract a quantity to/from only one side

C. Multiply/divide both sides by the same non-zero constant

D. Multiply/divide both sides by the same variable expression

2( Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?

A. Yes

B. No

Answers

Yes I’d the answer and it’s D

The 20% tip on a $73 meal

Answers

What's a 20% Tip on a $73 Bill?
Bill: $73.00
Tip: $14.60
Total: $87.60

What is the degree?
6−n
2
+5n
3

Answers

Answer:

The degree is 3

Step-by-step explanation:

Given

[tex]6 - n^2 + 5n^3[/tex]

Required

The degree

The highest power of the variable is regarded as the degree of the polynomial

In the given polynomial, the variable is n.

And the powers of n are:

[tex]n = \{0,2,3\}[/tex]

The highest power is 3; Hence, the degree is 3

WILL GIVE BRAINLIEST!!!!!(NO LINKS)


Quadrilateral ABCD is translated 5 units right. What are the coordinates of
quadrilateral A'B'C'D?
y
A (5.5)
DA
D(15
C (21)
BX51
RUX
A. A'(10,5), B' (10,1), C'(7.1), D' (6,5)
O B. A' (10,10), B' (10,6), C'(7.6),
D'(6,10)
O C. A'(5,0), B'(5,-4), C' (2,-4), D' (1,0)
D. A' (0,5), B'(0,1), C'(-3,1), D'(-4,5)

Answers

Answer:

D (-5,10),(-1,10),(-1,7),(-5,6)

Step-by-step explanation:

I took the quiz and it was right hope this helps ❤️Can u mark brainlist PLZ

Which expression does the number line represent?
O 3+ 3/4. O 3/4 + 9/4 O 3 + 9/4 O 9/4 + 3/4

Answers

I’m pretty sure 3+9/4 is correct

Write the equation of the line with the given slope and y-intercept.
slope - 5
y-intercept - 8
A)
y = 5x+8
B
x - 5y + 8
y- 8x-5
D
Xo Bys

Answers

Answer:

y = 5x+8

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope is 5 and the y intercept is 8

y = 5x+8

A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?

A.
28 feet

B.
-52 feet

C.
-28 feet

D.
52 feet

Answers

Answer:

The answer is D.

Step-by-step explanation:

It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.

8. At a wholesale food distribution center, the price of sugar has increased 6.3% annually since 1980.
Suppose sugar cost $0.43 per pound in 1980 and this growth continues. What will a pound of sugar
cost in 2017? Use y = a(1 + r) and round to the nearest cent.
a. $4.12 b. $1.21
c. $0.42 d. $3.30

Answers

Answer: A. $4.12

Step-by-step explanation:

Y=a(1+r/n)^nt is the equation we use to solve this.

a= $0.43

t=37 - take 1980 and subtract it from 2017

r= .063 - the 6.3% goes into a decimal

n = 1

Y= ?

Y= 0.43( 1+ .063/1) ^1*37

Y= 0.43 (1.063) ^37

Y= 4.12

2612 ÷13 = ? A. 202 r11 B. 200 r12 O O D. 199111 C. 200 r13​

Answers

It’s B 200 remainder 12.
If you multiply 200 with 13 you get 2600.
To find the remainder subtract 2612 with 2600 which leaves 12.

PLS PLS HELP ME NO LINKS IF YOU GIVE ME RIGHT I WILL GIVE BRAINLIEST 50 POINTS!!!!!!!!!

Answers

What is the question

Answer:

What's the question?

Step-by-step explanation:

A student performed the following steps to find the solution to the equation
x2 + 4x-12-0. Where did the student go wrong?

Answers

Answer:

Step 2

Step-by-step explanation:

Step 2 because in step 1, they correctly wrote the factors of the polynomial as (x+6) and (x-2). But then in step 2, (x+6) suddenly became (x-6) and (x-2) became (x+2), which is incorrect.

The answers in step 3 should have been -6 and  2.

Help I need an explanation

Answers

Answer:

Step-by-step explanation:

X =75

Answer:

180° - 105 = 75°i.e angle EFB (sum of angle in st.line)

Step-by-step explanation:

X°= angle EFB ( being corresponding angle)

Hence the value of x is 75

24/10 into hundredths​

Answers

Answer:

240/100

Step-by-step explanation:

just multiply 24 by 10 to get hundredths

A number added to five equal to negative eleven find the number​

Answers

Answer:-16

Step-by-step explanation: -16 + 5 = -11

Equation: x + 5 = -11
Subtract 5 on both sides.
x = -16
The number is -16.

Parker just started a running plan where he runs 7 miles the first week and then
increases the number of miles he runs by 10% each week. If he keeps up this plan for
15 weeks, how many total miles would Parker have run, to the nearest whole
number?

Answers

Answer:

Parker would have run 29 miles in the 15th week.

Step-by-step explanation:

Since Parker just started a running plan where he runs 7 miles the first week and then increases the number of miles he runs by 10% each week, to determine, if he keeps up this plan for 15 weeks, how many total miles would Parker have run, to the nearest whole number, the following calculation should be performed:

7 x 1.1 ^ 15 = X

7 x 4.1772 = X

29.24 = X

Therefore, Parker would have run 29 miles in the 15th week.

HELP PLS ILL GOVE BRAINLIEST

Answers

Answer:

x = 6, y = 5

Step-by-step explanation:

y = x - 15 = 6 - 1         Substitute y for 5 and x for 6

Mark me as brainliest!!

A thief steals an ATM card and must randomly guess the correct pin code that consists of 4 digits (0 through 9) that must be entered in the correct order. Repetition of digits is allowed.
What is the probability of a correct guess on the first try?

Answers

Answer:

[tex]\frac{1}{10000} = 0.0001[/tex] probability of a correct guess on the first try.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

Only one correct key, so [tex]D = 1[/tex]

Total outcomes:

4 digits, each with 10 possible outcomes. So

[tex]T = 10^4 = 10000[/tex]

What is the probability of a correct guess on the first try?

[tex]p = \frac{D}{T} = \frac{1}{10000} = 0.0001[/tex]

[tex]\frac{1}{10000} = 0.0001[/tex] probability of a correct guess on the first try.

1) Find the product: 6 x 1/3= * O 61/3 O 6/18 6/3 01/18​

Answers

Answer:

2

Step-by-step explanation:

Answer:

I think its the second answer

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