Find the 7th term of the geometric sequence
1/8, 1/2, 2, ...

Answers

Answer 1

Answer:

512

Explanation:

Given sequence:

        1/8, 1/2, 2, ...

Unknown:

The 7th term of the geometric sequence  = ?

Solution:

To solve this problem, we apply the formula below;

       Sₙ   = arⁿ⁻¹

a is the first term

r is the common ratio

n is the nth term

  r  = [tex]\frac{\frac{1}{2} }{\frac{1}{8} }[/tex]    = [tex]\frac{1}{2} x 8[/tex]   = 4

Input the parameters and solve;

      Sₙ  = [tex]\frac{1}{8}[/tex] x 4⁷⁻¹

     Sₙ   = [tex]\frac{1}{8}[/tex] x 4⁶  = 512


Related Questions

can we add 2 atoms together? 3? How do particles combine to form the variety of matter one observes?

Answers

yes you can add two atoms together
yes you can add them together

A tennis ball with a speed of 11.5 m/s is moving perpendicular to a wall. After striking the wall, the ball rebounds in the opposite direction with a speed of 5.842 m/s. If the ball is in contact with the wall for 0.0129 s, what is the average acceleration of the ball while it is in contact with the wall? Take "toward the wall" to be the positive direction. Answer in units of m/s 2

Answers

Answer:

1344.34 m/s

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 11.5 m/s

Rebound velocity i.e final velocity (v) = 5.842 m/s

Time (t) = 0.0129 s

Acceleration (a) =.?

The acceleration of the ball while it is in contact with the wall can be obtained as follow:

a = (v + u) / t

a = (5.842 + 11.5) / 0.0129

a = 17.342 / 0.0129

a = 1344.34 m/s

Therefore, the average acceleration of the ball while it is in contact with the wall is 1344.34 m/s

In a food chain, consumers gather energy by _______. a. consuming organisms at a lower trophic level b. consuming organisms at a higher trophic level c. decomposing dead organic matter d. absorbing sunlight directly Please select the best answer from the choices provided A B C D

Answers

Answer:

a. consuming organisms at a lower trophic level.

Explanation:

A food chain shows how various organisms are related to each other as per the food they eat. Each level of a food chain refers to a distinct trophic level.

Food chain is basically related to transfer of matter and energy from organism to organism in the form of food.

In a food chain, consumers gather energy by consuming organisms at a lower trophic level

Answer:

a. consuming organisms at a lower trophic level.

Explanation: took the unit test

If a red blood cell with a 0.5M salt concentration is placed into a 2M salt solution, what will happen to the blood cell?

Answers

Answer:

The blood cell will expand.

Explanation:

Given that,

Salt concentration = 0.5M

Solution concentration = 2M

We know that,

Hypertonic solution :

If the solution concentration is lower than the solute concentration then it is called hypertonic solution.

Hypotonic solution :  

If the solution concentration is higher than the solute concentration then it is called hypotonic solution.

We need to find what will happen to the blood cell

Using given data

The solution concentration is higher than the solute concentration.

So, The solution will be hypotonic solution.

We know that,

When a cell is placed in a hypotonic solution then the water will enter the cell, and the cell will expand.

Hence, The blood cell will expand.

Answer:

The blood cell will expand.

Explanation:

Just took a test.

{Hope this helps} : )

3. In which direction does Maple Creek flow? a. Northeast b. Southwest Can't tell from information given​

Answers

Answer:

Northeast

Explanation:

I'm not sure if there's some fancy thing you have to do, but if there's no cardinal compass given, I think it's safe to assume that the answer is based off of one. Therefore, up is north, right is east, so Maple Creek flows to the northeast.

However, if they do give you one where, say, north points downwards, the creek would flow to the southwest. But again, from what is shown, there's no compass, so NE is your best guess here.


The measurement of how much matter an object contains is its
a. volume.
b. weight.
c. mass.
d. melting point.

Answers

Answer:

Mass is how much matter an object contains. Mass and weight are different measurements, although they may seem similar. Mass is measured by comparing one object to another object of known mass. Grams and kilograms are units we use to measure mass.

The measurement of quantity of matter in an object is mass ( optionC)

What is mass of a body?

Mass of a body is defined as the quantity of matter(Solid, liquid or gas) contained in the given volume of the body.

Mass is a scalar quantity and also part of the fundamental quantities. It is measured in kilograms. Other units of mass include; gram tonnes e.t.c

Matter is anything that takes up space and can be weighed.

Therefore the quantity of matter in a body is

called mass.

learn more about mass of a body from

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how can magnetic potential energy be transferred to kinetic energy

Answers

Answer:

A magnetic force can convert kinetic energy stored in a magnetic field to potential energy. Kinetic energy can convert potential energy stored in a gravitational field. A magnetic energy can convert potential energy stored in a gravitational field to kinetic energy.

Which of the following is a solution?
OA.
ocean water
OB. oil in water
OC. sand in water
OD. all of these







OA. Ocean water

Answers

Answer:

OA. ocean water is a solution

Explanation:

TIME REMISE
01:57:34
As a person pushes a box across a floor, the energy from the person's moving arm is transferred to the box, and the
box and the floor become warm. During this process, what happens to energy?
O. It is increased.
O It is conserved,
O It is decreased.
O It is created.


Answers

Answer:

It is conserved

Explanation:

B .It's is conserved.

Problem #2: An apple is thrown upward with an initial velocity of +24.0 m/s. a. Sketch the apple's trip and label what you know. b. How high will the apple go? (Ans: +29.4 m) c. What is the total time needed for the apple to return to its original position? (Ans: 4.90 s)

Answers

Answer:

The answer is below

Explanation:

a) The initial velocity (u) = 24 m/s

We can solve this problem using the formula:

v² = u² - 2gh

where v = final velocity, g= acceleration due to gravity = 9.8 m/s², h = height.

At maximum height, the final velocity = 0 m/s

v² = u² - 2gh

0² = 24² - 2(9.8)h

2(9.8)h = 24²

2(9.8)h = 576

19.6h = 576

h = 29.4 m

b) The time taken to reach the maximum height is given as:

v = u - gt

0 = 24 - 9.8t

9.8t = 24

t = 2.45 s

The total time needed for the apple to return to its original position = 2t = 2 * 2.45 = 4.9 s

A jet accelerates from rest down a runway at 1.75 m/s2 for a distance of 1500 m before
takeoff.
a. How fast is the plane moving at takeoff?
b. How long does it take the plane to travel down the runway?

Answers

Explanation:

a. Using the third equation of motion:

v2 = u2 + 2as

from the question;

the jet was initially at rest

hence u = 0

a = 1.75m/s2

s = 1500m

v2 = 02 + 2(1.75)(1500)

v2 = 5250

v = √5250

v = 72.46m/s

hence it moves with a velocity of 72.46m/s.

b. s = ut + 1/2at2

1500 = 0(t) + 1/2(1.75)t2

1500 × 2 = 2× 1/2(1.75)t2

3000 = 1.75t2

1714.29 = t2

41.4 = t

hence the time taken for the plane to down the runway is 41.4s.


13. A nuclear decay chain represents
the reason why only fission is more efficient than fusion for nuclear energy
a series of
decays producing sequentially more stable nuclei
b. the only possible type of decay that an isotope can undergo d. the process of nuclei becoming
increasingly energetic as they release radiation

Answers

Answer:

a series of  decays producing sequentially more stable nuclei

Explanation:

A nuclear decay chain represents a series of decays producing sequentially more stable nuclei.

For every atomic nucleus, there is a specific neutron/proton ratio which ensures the stability of the nucleus. Any nucleus with a neutron/proton combination different from its stability ratio (i.e either too many neutrons or too many protons) will be unstable and split into one or more other nuclei with the attendant emission of small particles of matter. The decay process is a continuous chain reaction steps. Until stability of the nucleus is attain, it continues.

Pllzzzz help I will mark u as a brainliest

Answers

Answer:

You dont need BRAINLY there is an app called slader where you scan the textbook barcode and it shows you the answers for the question in the textbook.

Explanation:

Which athelete broke two world records twice this year?​

Answers

Answer:

Michael

Explanation:

Question 4 of 20
Luke wraps a magnetized steel nail with several coils of insulated wire and
then connects the loose ends of the wire to a 10 W lightbulb. Which step
could he take next to get the lightbulb to light up?
O A. Replace the magnetized nail with a nonmagnetic metal to cause
an electric current to flow in the wire.
O B. Remove the magnetized nail from the wire coil to induce a
magnetic field that will flow through the wire.
C. Move the magnetized nail back and forth within the wire coil to
induce an electric current in the wire.
D. Add several more coils of the wire around the magnetized nail to
make a stronger electric current.
SUBMIT

Answers

Answer:

C. Move the magnetized nail back and forth within the wire coil to induce an electric current in the wire.

Hope this helps.

Anna is conducting an experiment to determine how weather affects cell phone reception. She is trying to decide the best way to conduct her experiment in order to collect meaningful data.

Which of the following experiments would help Anna collect the best data?
A.
Test different cell phones in different locations on days with rainy weather.
B.
Test different cell phones in different locations on days with clear weather.
C.
Test a cell phone's reception in the exact same location under various atmospheric conditions.
D.
Test a cell phone's reception in one location with clear weather and in another location with rainy weather.

Answers

Your answer should be D.
Hope this helps :)

The image shows the electric field lines around two charged
particles

Answers

Answer:4

Explanation:

on edge 2020

Warmer weather caused Galetown to have more severe storms.

Answers

Answer:

it will have to rise higher in the  before the temperature of the air parcel and the surrounding air are equal. Which means the climate has rised

Explanation:

The climate rised

hope this helps!

What does it mean to
"accelerate"?

Answers

Answer:

increase in amount or extent.

Explanation:

in other words speed up or go faster in a less time period

Which of the following is NOT a vector?
A. Force
B. Acceleration
C. Mass
D. Displacement

Answers

Answer:

Explanation:

Mass is the only one of these that is not vector; everything else has both magnitude and direction.

A dump truck is moving at a constant velocity of 30 m/s.
Which of the following statements accurately describes the truck?

Answers

Answer: According to Newton’s 1st law, the truck must be in equilibrium.

When a body like earth is moving in a circular path the work done in that case is zero because: (a) Centripetal force acts in the direction of motion of the body (b) Centripetal force acts along the radius of circular path (c) Gravitational force acts along the radius of circular path (d) Centrifugal force acts perpendicular to the radius of circular path

Answers

Answer:

(b) Centripetal force acts along the radius of circular path

Explanation:

Centripetal force is a force experienced by a body moving in a circular path. It is expressed mathematically ad F = mv²/r

m is the mass of the body

v is the velocity

r is the radius of the circular path

When a body moves in a circular path, work dome is zero because Centripetal force acts along the radius of circular path and the force is at right angle with the motion of body.

What is the acceleration of a car moving in a straight line that increases from 0m/s to 50 m/s in 5 seconds?

Answers

Answer:

10m/s^2

Explanation:

a=change in velocity/change in time

50/5=10m/s^2

If you were to travel from the equator to the higher latitudes (near either pole) on Saturn, the differential rotation would cause the length of a day that you would measure to be longer by ____ hour(s). [Number accurate to 2 places after the decimal.]

Answers

Answer:

Saturn's differential rotation will cause the length of a day measures to be longer by 0.4 hours

Explanation:

Differential rotation occurs due to the difference in angular velocities of an object as we move along the latitude of the or as we move into different depth of the object, indicating the observed object is in a fluid form

Saturn made almost completely of gas and has differential motion given as follows

Rotation at the equator = 10 hours 14 minutes

Rotation at high altitude = 10 hours 38 minutes

Therefore;

The differential rotation = 10 hours 38 minutes - 10 hours 14 minutes

The differential rotation = 24 minutes = 24 minutes × 1 hour/(60 minutes) = 0.4 hours

The differential rotation = 0.4 hours

Therefore, the measured day at the higher altitude will be 0.4 longer than at the equator.

whats the order of solid liquid and gas from least particle motion to the most?

Answers

Answer:

Solid < Liquid < Gas

A student is able to run 5 meters in a time of 2 seconds. What is the average speed of this student in m/s?

Answers

Answer:

2.5

Explanation:

You have to find the unit rate, so 5 divided by 2 is 2.5.

Cacao beans arrive in a factory from the areas where they grew. At the factory, the best beans are sorted and put into bags. After quality-control workers check the bags, a large truck transports the cacao beans to a commercial chocolate-producing company. Which organelle plays a similar role inside a cell?
A. cytoplasm
B. Golgi body
C. mitochondrion
D. ribosome
E. vacuole

Answers

Answer:

B. Golgi body

Explanation:

The Golgi body is the region where proteins are modified, packaged, and transported to the appropriate location, usually outside of the cell.

The cytoplasm is the intracellular fluid/space, the mitochondrion produces energy, the ribosome produces proteins, and the vacuole is a storage organelle.    

The Answer is B , Because the golgi body stores stuff for later use.

hope this helps

Determine the weight of a 2959.0-kg car that is moving at a speed of 21 m/s. Enter a
numerical answer.

Answers

weight=mass*gravity

w=2959.0*10

w=29590N

The weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons, here speed of the car is the redundant value that is not used to calculate the weight of the car.

What is gravity?

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem, we have to determine the weight of a 2959.0-kg car that is moving at a speed of 21 m / s .

The weight of the car = mass of the car × acceleration due to gravity

                                    = 2959 × 9.8

                                    = 28998.2 Newtons

Thus, the weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons.

To learn more about gravity here, refer to the link given below ;

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Which of the following is NOT an undefined term?
A. Line
B. Point
C. Line Segment
D. Plane

Answers

C - line segment im not sure but im guessing that's the answer if that's helps.

Describe an organism that might live in an extreme environment such as inside a volcano, deep in the ocean, or in an icy cave.

Answers

Answer:

If you haven’t read about the shark found swimming in and out of a segment of an undersea volcano, then you really need to get up to date.

Explanation:

Answer:
Shrimp

Explanation:
There are shrimp found in underwater volcanoes
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