The first term of a geometric sequence
is -2. The common ratio is 4. What is
the 6th tem?
F -8192
H 2048
G -2048
J 8192

Answers

Answer 1

Answer:

Step-by-step explanation:

a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048

Answer 2

The sixth term of the given sequence is required.

The required term is option G -2048.

Geometric sequence

a = First term = -2

r = Common ratio = 4

n = Required term = 6

The general formula to find a term of the sequence is given by

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

Substituting the values we get

[tex]a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048[/tex]

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Related Questions

What is up guys!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

Yes, No, Yes

Step-by-step explanation:

Use the Pythagorean theorem:

a² + b² = c²

Verify this for each line:

1.

28² + 45² = 53²2809 = 2809Yes

2.

33² + 56² = 64²4225 ≠ 4096No

3.

36² + 77² = 85²7225 = 7225Yes

Will mark brainliest for any help!

Answers

The answer is d your welcome

Which option best shows X > -8

Answers

The answer is on the picture.

Sam buys
2 boxes of eggs costing £1.30 each
1 bottle of juice costing £2.60
3 baguettes
He pays with a £10 note and gets a 90p change.
Sam works out the cost of one baguette as £1.70

Is he correct?

You must show your working out.

Answers

Answer:

He is not correct

2 boxes of eggs =1.30+1.30=2.60

1 bottle of juice cost=£2.60

2.60+2.60=£5.20

£10.00-0.90p=£9.10

9.10-5.20=£3.90

3.90/3=£1.30

1.30+1.30+1.30=£3.90

5.20+3.90=£9.10

Step-by-step explanation:

Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x

A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)

I labeled them all on Desmos & they all seem to lie on it, which is why I need help.

Answers

It’s a hope that helps have a good one

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

Option A is the answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]

We need to substitute the values of x and y into the function and see if the equation holds true.

A. (12, 0)

Substituting x = 12 and y = 0 into the function, we get:

[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]

This does not equal y = 0, so (12, 0) does not lie on the graph of the function.

B. (-2, 48)

Substituting x = -2 and y = 48 into the function, we get:

[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]

This does not equal y = 48, so (-2, 48) does lie on the graph of the function.

C. (2, 3/16)

Substituting x = 2 and y = 3/16 into the function, we get:

[tex]f(2) = 3(1/4)^2 = 3/16[/tex]

This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.

D. (0, 3)

Substituting x = 0 and y = 3 into the function, we get:

[tex]f(0) = 3(1/4)^0 = 3[/tex]

This equals y = 3, so (0, 3) does lie on the graph of the function.

Therefore,

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

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If Mandy wants to put pictures on the shelf and each picture frame is 8 1/3 in wide,
how many pictures can Mandy put on the 3 3/8 foot shelf?

Answers

79 book, your welcome:)

Answer: 4 frames

Step-by-step explanation:

I don’t get it or understand

Answers

Answer:

$1.30

Step-by-step explanation:

What you do is add the original 65 cents to the additional 65 cents that were shown to get 130. Since it's more than 100 you make it into dollars, so the final answer is $1.30.

Answer:

$1.30

Step-by-step explanation:

You need to know how coins look like. The middle one is a quarter and the other four are dimes. We know that quarters are worth 25 cents and dimes are worth 10 cents. Because there are 4 dimes, you do 4x10 which is equal to 40. We know that there is only one quarter so we do 40+25 which is equal to 65. Therefore, the tip is 65 cents Then, you add 65 cents to 65 cents again because Faaz had already put 65 cents there. 65+65 is equal to 130. 130 is equal to 1 dollar and 30 cents. Therefore, the tip is $1.30


Please help me solve this problem
What is the area of a regular pentagon with an 8-cm
apothem and 11.6-cm sides?

Sub

Answers

Answer:

232.5 cm²

Step-by-step explanation:

232.5

The required area of the regular pentagon with an 8-cm apothem and 11.6-cm sides is 232 cm².

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
To find the area of a regular pentagon, we can use the formula:

Area = (1/2) x Apothem x Perimeter

where Apothem is the distance from the center of the pentagon to the midpoint of any side, and Perimeter is the sum of the lengths of all the sides.

In this case, the apothem is given as 8 cm, and the length of each side is given as 11.6 cm.

To find the perimeter, we can simply multiply the length of one side by 5:

Perimeter = 5 x 11.6 cm = 58 cm

Now, we can plug in these values into the formula:

Area = (1/2) x 8 cm x 58 cm

Area = 232 cm²

Therefore, the area of the regular pentagon with an 8-cm apothem and 11.6-cm sides is 232 cm².

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Solve −2x−4=3x+1
by graphing.

The solution is x=

Answers

Answer: x=-1

Step-by-step explanation:

I need to hire an expert I know it sounds crazy but here’s my number 252-883-1019 im going to send u 5 questions for math I need you to explain to me and you reward will be 20 points + today I will give you 20 points every hour

Answers

Literally just post the questions and wait for someone to respond there’s no need to give out your number

Answer:

You shouldnt give out your number to strangers on the internet

Step-by-step explanation:

HELP ASAP
Find the distance CD rounded
to the nearest tenth.
C = (4.7) D = (7,11)
CD = [?]
LITT

Answers

Answer:

I believe the answer is 5.

Need help please ?!!!!!

Answers

A. 28/116
B. 45/182
C. 38/116
D. 18/182

What is 8/11 divided by 4

Answers

Answer:

2/11 or

0.181818

Step-by-step explanation:

Because 8/11 in precent form is 72%

So, 72÷4= 18.

If you put 18 in decimal form, it will be:

.18

For the fraction answer, .18 will be 0.22

And 0.22 in fraction form will be 2/11.

So those are your answers.

I hope this helped      :)

The division of the equation A = ( 8/11 ) / 4 is A = 0.1818..

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first fraction be represented as p = ( 8/11 )

Let the second fraction be q = 4/1

Now , the equation is A = 8/11 divided by 4

On simplifying , we get

A = ( 8/11 ) / 4

A = ( 8/44 )

A = 0.181818181..

Therefore , the value of A is a recurring decimal number

Hence , the equation is A = 0.181818..

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multiply x+3, x-4 and x+1 in horizontal format

Answers

Answer:

x^3−13x−12

Step-by-step explanation:

(x+3)(x-4)(x+1) I am guessing this is "horizontal format"

if this is what you meant the answer is x^3−13x−12

A fish tank is shaped like a rectangular prism. It has a length of 5 feet, a width
2 feet and a height of 3 feet. What is the volume of the fish tank?
13 cubic feet
10 cubic feet
30 cubic feet
11 cubic feet

HELP PLEASE!

Answers

5×2=10 | 10×3 = 30

Therefore, the answer is 30.

In the manufacturing division of a particular company, there are 68 hourly employees and 30 for salaried employees to employees from the manufacturing division are randomly selected to represent the company and I'm coming conference what is the probability that both employees have the same type of pay structure

Answers

I’m yeh manufacturing it’s with me 30p because it just will I think that was it is I need point

I need help with math:

Which equation matches this table?

X 15 9 16 11 13
Y 11 5 12 7 9


1. y = x + 3
2. y = x - 3
3. y = x - 4
4. y = x + 4

Answers

Answer:

3

Step-by-step explanation:

13-4=9

11-4=7

16-4=12

9-4=5

15-4=11

Answer: y = x-4

Step-by-step explanation:

15 - 4 = 11

9 - 4 = 5

16 - 4 = 12

11 - 4 = 7

13 - 4 = 9

hopes this helps!!! :3

PLEEEEEEEEAAAAAAAASSSSSS HELP MEEEEEEE

Answers

Answer:

i guess it is 54-11+7 , the second one

answer :50
good luck..

Is the value of each expression closer to 1/2 1 OR 1 and 1/2? 12.1/221

Answers

Answer:

7/13

Step-by-step explanation:

The difference that is closest to zero will indicate the fraction that is closest to 1/2. Since 1/26 is closest to zero, 7/13 is closest to 1/2.

I agree as well with the person answer your answer will end up being 7/13

The table below shows Greg's scores at a state golf tournament. What is Greg's
average score for the five rounds?

A. -4
B. -3
C. -2
D. -1

Answers

B I believe is the answer

Answer: d

Step-by-step explanation:

You add all of his scores up and divide them by how many numbers there are which 3+1+ -3+ -2+ -4 equals -5 and you divide them by the five numbers which gives you one

help with math please it means the world to me!!

Answers

Answer:

10 units^2

Step-by-step explanation:

Simplify the following fraction 12/15 answers:
2/3
12/15
4/5
3/4

Answers

Answer:

4/5

find a common factor that can divide evenly into 12 and 15 in this case its 3

12÷3=4

15÷3=5

so therefore the answer is 4/5.

I hope this helps!

Answer:

4/5

Step-by-step explanation:

Which of the following is a quadratic function?

f(x) = 2^x
f(x) = 1-8x^2
f(x) = 6x+3
f(x) = 0x^2+9x-12

Answers

The first two functions

Answer: b

Step-by-step explanation:

Just took the quiz

A spinner with the colors red, yellow, green, and blue is spun. If you are trying to find the probability of the spinner landing on red or green, how many desired outcomes are there?

Answers

Answer:

50

Step-by-step explanation:

you dont want blue or yellow but you want red or green which means it is 2 agast 2 and 2+2 is 4 and 4 divided by 2 is 50%

HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

The volume (V) of water in the tank is calculated as

V = lbh (l is length, b is breadth and h is height )

Here l = 80, b = 40 and h = 50 , then

V = 80 × 40 × 50 = 160000 cm³

V ( in litres) = 160000 ÷ 1000 = 160 litres , then

number of times = 160 ÷ 10 = 16

A system consists of two components A and B that operate independently. The system
fails when either component fails. The probability that component A fails is 0.2, and
the probability that component B fails is 0.1. What is the probability that the system
fails?

Answers

Answer:

0.3

Step-by-step explanation:

When one component fails, so does the other one.

a + b = P

0.1 + 0.2 = 0.3

Your answer would be 0.3 or 30%.

Hope this helps. Have a nice day.

PLEASE HELP ME EVERYONE HAS GOTTEN THIS WRONG ITS GONNA SUBMIT IN 15 MIN PLS HELP THANK YOU

Answers

Answer:

x=4.8

This here you use Pythagorean Theorem.

Step-by-step explanation:

a^2+b^2=c^2

The longest side is c. And the two legs are a and b.

So it'd be 11^2+x^2=12^2

121+x^2=144

Subtract 121 from both sides.

x^2=23

Then take the √ of x^2 and 23

So √x^2=√23

x=4.8

Hope this helps

ANSWER ASAP PLZ BRAINLYIST WILL BE GIVEN IF RIGHT

What is the value of x?

Answers

Answer:

8 × [tex]x[/tex] = 12 x 18

8[tex]x[/tex] = 216

[tex]x[/tex] = 27cm

Step-by-step explanation:

I use that formula because they are similar triangles! :)

Hope this helps!

14 or 12? Just a guess

I need help with my homework

Answers

Answer:10

Explanation: each number is being divided by 2.
answer 10 it’s being divided by 2 sorry I needed points

A water tank that holds 500 gallons leaks LaTeX: \frac{1}{2}1 2 gallon of water every hour. What is the rate of change for the function that models the number of gallons in the tank for a given number of hours? (a) - 250 (b) - 0.5 (c) 0.5 (d) 250

Answers

Answer:

250

Step-by-step explanation:

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