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

hi can someone help me with math?:

Evaluate the expression x + 12, if x = 4

options:

1. 18
2. 8
3. 16
4. 48

Answers

Answer:

4+12= 16 so answer 3

Step-by-step explanation:

put four in place of x

Answer:

3. 16

Step-by-step explanation:

x=4

therefore x is worth four so we can replace x with the number 4

4+12

4+12=16

Help pleaseee is for nowwww

Answers

Answer:

your bo**bs are so far wooooooooooooooooow!!!!

please help i really need it i have been working on this for the past 42 minutes

Answers

For graphing use the website Desmos, it gives you the answers for graphing

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.

Answers

Answer:

So.. Liliana used 4 crystals to race 14 zombie soldiers.

14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.

So, Liliana is able to race 35 zombie soldiers with 10 power crystals.

Glad I could help!

Step-by-step explanation:

If Sally walks 2 meter it takes her 1 second. If she walks 4 meters it takes her 2 seconds and 6 meters takes her 3 seconds. Is this a linear situation? Make a table and plot the points in the table to determine whether the following relationship is linear If it is, write an equation that represents the data.

Answers

Answer:

y=2x

Step-by-step explanation:

2   1

4   2

6   3

P = kQ
a) direct
b) inverse
c) joint variation
PLEASE HELP!! WILL MARK BRAINIEST!!

Answers

99% sure this is joint variation.

5/6 minus (- 3/4)
HELP PLS

Answers

Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

YAY! I want a brain

Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

what is the slope line ​

Answers

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

Uphill slopes are positive slopes.

The slope will be a positive number like 5 or 2/3.

Downhill slopes are negative slopes.

The slope will be a negative number like -7 or -1/3.

Step-by-step explanation:

Which is true about the area of the parallelogram? The area of the parallelogram is 15 units2

Answers

Answer:

equal to

Step-by-step explanation:

got it right on edge 2021

Answer:

equal to

Step-by-step explanation:

Can someone help me ?

Answers

Answer:

The second one doesn't match.


Which graph represents the solution set for the inequality: y > x-1

Answers

Answer:

F

Step-by-step explanation:

The circle graph shows how a family budgets its annual income. if the total annual income is $130,000, ehat amount is budgeted for clothing?
$?​

Answers

Answer:

Step-by-step explanation:

17% = 0.17

$130 000 × 0.17 = $22 100

GH is tangent to both circle A and circle E. Determine the length of HE.
01) 27 units
2) 3 units
03) 1.8 units
4) 4 units

Answers

Answer:

3 unit is the correct answer

Answer:

3 units

Step-by-step explanation:I took the test

A circle has a diameter of 24 cm. Which expression
could represent the area of this circle in square cm?

Answers

36 I think but don’t trust me trust GOD THE ALMIGHTY.

PLEASE HELP ME ANYONE ???????????!!!

Answers

Answer:

A x>9

Step-by-step explanation:

add 4 to both sides and ta da

Answer:

x>9

Step-by-step explanation:

you move the negative 4 to the other side to get it away from x so then you can find the answer.

Hope this helps:)

Find the area of the shaded polygons:

Answers

To find the area of the shaded region you must subtract the area of the circle from the area of the square. , where is the side of the square and is the radius of the circle.

Answer:

4 sq. un

Step-by-step explanation:

The bake sale raised $60.00. If each cookie cost $0.75, how many cookies were sold
Pls help help help.

Answers

Answer:

80cookies

Step-by-step explanation:

60 / .75 = 80cookies

good luck, i hope this helps :)

Answer:  80 cookies were sold.

Step-by-step explanation:

To solve this, we divide the amount of money they earned by the amount of money each cookie cost. The answer is 80.

Please help I need it

Answers

Answer:

A. Yeah

Step-by-step explanation:

A. I think what that guy said is right

PLEASE WILL MARK BRAINIEST!!!!!! Jameson and Quincy each deposit $7,000 into accounts that earn 6% interest, but Jameson earns annual simple interest while Quincy earns annual compound interest. Assuming neither one of them makes any deposits or withdrawals for 5 years, which of the following is a true statement?

Jameson will have about $9,367.58 less in his account than Quincy.


Jameson will have about $267.58 less in his account than Quincy.


Jameson will have about $2,367.58 more in his account than Quincy.


Jameson will have about $2,100 more in his account than Quincy.

Answers

Jameson will have about $267.58 less in his account than Quincy.

What is Compound Interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Here, Jameson deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % SI per annum.

For simple Interest,   Amount = P(1+RT)

Total amount in Jameson at the end of 5 years = 7000 ( 1 + 0.06 X 5)

                                                          = 7000 X 1.3

                                                         = $ 9100

Quincy deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % CI per annum.

For Compound Interest,   Amount = P(1+R)ⁿ

Total amount in Quincy at the end of 5 years =  7000 ( 1 + 0.06)⁵

                                                                           = 7000 X 1.34

                                                                           = $ 9367.58

Thus, Jameson will have about $267.58 less in his account than Quincy.

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The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet

Answers

Answer:

As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:

d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

Help please. Mathematics question 6.

Answers

[tex]{ :{ \implies { \tt{ \blue{ \frac{1}{4} x + 3 - \frac{1}{3} x + ( - 2)}}} }}\\ \\ \\ { : { \implies{ \blue{ \tt{ \frac{1}{4} x - \frac{1}{3} x + 3 - 2}}}}}[/tex]

[tex]{ : { \implies{ \tt{ \blue{ \frac{1}{4} x - \frac{1}{3} x + 1}}}}} \\ \\ \\ { : { \implies{ \tt{ \blue{ \frac{3x - 4x + 12}{12}}}}}} [/tex]

[tex]{ :{ \implies{ \blue{ \tt{ \frac{12 - x}{12}}}}}} \\ \\ \\ { : { \implies{ \blue{ \tt{1 - \frac{x}{12}}}}}} [/tex]

option ( D ) is correct

Oh god I don’t know

Make t the subject of the formula p = 4t+1/2-t​

Answers

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t​

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

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).

Learn more about functions here:

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5. During the day a person consumes 360
calories from fruit. How many calories does
this person consume in their daily diet?
A. 1,600
B. 2,300
C. 2,400
D. 2,600

Answers

The person consumes a 1,600

Answer: C :2400

Step-by-step explanation:

Part over whole and percent over 100 you put 15 as your percent and 100 over it then you put 360 as your part then you multiply 360x100=36,000 you divide that with 15 and you get 2,400

help me please I need help ​

Answers

Answer:

DO NOT GO ON THST LINK< IT WILL SEND A VIRUS TO YOUR DEVICE!!!

Step-by-step explanation:

A+5 expressed as a difference

Answers

Answer:

A-(-5) = A+5

it is the answer

Answer:

a-(-5)

Step-by-step explanation:

Since it's originally an addition question but you want to write it as a difference (subtraction) question, you would use double negative signs. Whenever there are two double negatives next to each other, it counteracts and becomes a positive sign, however you still wrote it as a subtraction question.

Hope this helps

PLease help me asnwer this!!

Answers

Answer:

The answer is 60x500=30000

Step-by-step explanation:

30000 is your answer

Mark works as a librarian and makes $16.75 per hour. He gets paid time-and-a-half for overtime. How much will he make if he works 52 hours this week?

Play media comment.

Group of answer choices

$670.00

$971.50

$1,005.00

$871.00
PLZZZ HURRY

Answers

Answer:

$871.00

Step-by-step explanation:

A baseball player throws a ball from second base to home plate. How far does the player throw the ball? Include a diagram showing how you got your answer. Decide how many decimal points of accuracy are reasonable. Explain your reasoning.

Answers

Answer:

127 ft 3 3/8in

Step-by-step explanation:

Assuming the field is regulation (I can't see the model), the answer is 127 feet and 3 3/8 inches.

Which statement about the area of a right triangle is true?
F :The area formula for a right triangle is the base times the height because a rectangle can be
divided into two right triangles.
G: The area formula for a right triangle is the base times the height because a right triangle
can be divided into two rectangles.
H: The area formula for a right triangle is one-half of the base times the height because a
rectangle can be divided into two right triangles.
J: The area formula for a right triangle is one-half of the base times the height because a right
triangle can be divided into two rectangles.

Answers

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

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