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

7. Your teacher has mixed salt, pepper, and water. Describe a procedure that you could use to separate this mixture. Be sure to list all of the materials you would need, your set up, and your expected results.​

Answers

Answer:

hope this could help you

How do muscles help the body move?
A. The muscle contracts causing the tendon to pull the bone.


B. The muscle pushes against a joint.


C. One muscle pulls on another muscle.


D. The ligament pulls on the muscle attached to the bone

Answers

Answer:

Hello

A. The muscle contracts causing the tendon to pull the bone.

Answer: A

Explanation: The muscle contracts causing the tendon to pull the bone.

Eclipses occur because the Moon?
A
does not create its own light and only reflects light from the Sun.
o
does not create its own light and only reflects the light from Earth.
o
с
creates its own light, which is blocked by the Sun during an eclipse.
creates its own light, which is blocked by Earth during an eclipse.

Answers

I’m just here typing don’t mind me

Answer:

с

creates its own light, which is blocked by the Sun during an eclipse.

Explanation:

might not be right but its what i remember

Activity 3. Let's Do The Mathi
Direction: Use Newton's second law equation to solve for force, mass, and acceleration
Problem 1- A ball with a mass of 0.5 kg is hit with a force of 2.5N. What is its acceleration?
Problem 2- What is the acceleration of a 15kg box that is pushed across a horizontal surface
with a force of 50N?
Problem 3- An object with a mass of 2.0 kg has a force of 5.0 N applied to it. What is the
resulting acceleration of the object?
Problem 4- An object with a mass of 3.0 kg accelerates 2.5 m/s2 when an unknown force is
applied to it. What is the amount of the force?
Problem 5- An object accelerates 12.0 m/s2 when a force of 6.0 N is applied to it. What is the
mass of the object?

Answers

Answer:

Problem 1-

The acceleration = 5 m/s²

Problem 2 -

The acceleration = 3.[tex]\overline 3[/tex] m/s²

Problem 3 -

The acceleration = 2.5 m/s²

Problem 4-

The force applied = 7.5 N

Problem 5-

The mass of the object,  = 0.5 kg.

Explanation:

Problem 1-

The mass of the ball, m = 0.5 kg

The force (applied) with which it was hit, F = 2.5 N

The acceleration, a = Force/Mass = 2.5 N/(0.5 kg) = 5 m/s²

The acceleration = 5 m/s²

Problem 2 -

The mass of the box, m = 15 kg

The force (applied) with which it was hit, F = 50 N

The acceleration, a = Force/Mass = 50 N/(15 kg) = 10/3 = 3.[tex]\overline 3[/tex] m/s²

The acceleration = 3.[tex]\overline 3[/tex] m/s²

Problem 3 -

The mass of the object, m = 2.0 kg

The force (applied) with which it was hit, F = 5.0 N

The acceleration, a = Force/Mass = 5.0 N/(2.0 kg) = 2.5 m/s²

The acceleration = 2.5 m/s²

Problem 4-

The mass of the object, m = 3.0 kg

The acceleration, a, of the object = 2.5 m/s²

The force applied to it, F = Mass × Acceleration = 3.0 kg × 2.5 m/s² = 7.5 N

The force applied = 7.5 N

Problem 5-

The acceleration, a, of the object = 12 m/s²

The force applied, F = 6.0 N

The mass of the object, m = Force/Acceleration = 6.0 N/(12 m/s²) = 0.5 kg

The mass of the object,  = 0.5 kg.

What is the acceleration of gravity if you are on planet earth? *

Answers

Answer:

9.8 m/s2

Mark me up brainliest

follow me

Answer:

B) 9.8 m/s2

please give me brainliest!

God bless :p

Do) 13. Which image BEST represents our galaxy?

Answers

The second option !
Hope this helps

The best image of galaxy is second option.

What is galaxy?

Galaxies are vast systems of gravity-bound gas, dust, dark matter, and anything from a million to a trillion stars. Supermassive black holes are expected to be present at the centers of almost all big galaxies. The sun is merely one of 100 to 400 billion rotating stars in our own galaxy, the Milky Way.

There are more galaxies visible as we gaze farther into space. According to a 2016 study, there are two trillion, or two million million, galaxies in the observable universe. While some of those far-off systems resemble our own Milky Way galaxy, others are very dissimilar,

There are three general types of galaxies elliptical, spiral, and irregular.

So the best shape is second option elliptical with boundary.

To learn more about galaxy refer to the link:

brainly.com/question/24836631

 #SPJ5

A dog is 60m away while moving at constant velocity of 10m/s towards you. Where is the dog after 4 seconds?

Answers

20m away

the dog was 60m away from. you subtract 40m since it is 10m/s x 4 seconds
the dog is 20m away.
if the dog moves 10m/s, multiply 10 by 4, subtract 40 from 60. 20

Whether or not charges will move in a material depends partly on how tightly ______ are held in the atoms of the material.

Answers

Answer:

ELECTRONS

Explanation:

The length of the life cycle of a star depends on _.

distance from Earth
the nebula’s brightness
mass and the amount of matter
helium and the amount of matter

Answers

Answer:

c.mass and the amount of matter

C. Mass and the amount of matter

Between 1990 and 2010, more than 8.6 million acres of forest were destroyed in Indonesia, Malaysia, and Papua New Guinea to build palm oil plantations. These forests are homes to orangutans, elephants, tigers, and other animals. How will this activity affect the forest ecosystem?

Answers

Answer:

1.More number of natural disasters will occur.

2. Disease will spread.

Explanation:

An ecosystem is a geographic area where plants, animals, and other organisms live in and interact with each other in an environment.

Forests are homes to orangutans, elephants, tigers, and other animals.

As more than 8.6 million acres of forest were destroyed in Indonesia, Malaysia, and Papua New Guinea to build palm oil plantations, this may lead to the following consequences:

1.More number of natural disasters will occur.

2. Disease will spread.

If the distance from the Earth’s center to the Moon’s center were suddenly doubled, what would occur to the gravitational force between them?
(A) Gravitational force would decrease by a factor of 4.
(B) Gravitational force would increase by a factor of 4.
(C) Gravitational force would decrease by a factor of 2.
(D) Gravitational force would increase by a factor of 2.

Answers

Answer:

C)Gravitational force would decrease by a factor of 2.

Explanation:

Hope this helps :)

A box is being pushed across the floor at a constant velocity with an
applied force of 30N, what is the magnitude of the frictional force acting
on this box?

Answers

Answer:

Magnitude of frictional force = 30 N

Explanation:

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

Fn=m.a

The net force is the vector addition of each individual force. If the sum of all the forces acting on an object is zero, then the acceleration is zero. That means the object moves at a constant speed or is at rest.

When an object is pushed across a horizontal rough surface, there are two forces acting in the direction of the motion: The applied force and the frictional force.

If the applied force is greater than the frictional force, then the object moves at a constant positive acceleration. If the frictional force is greater than the applied force, then the object won't move at all (if it was at rest) or will start a deaccelerated motion (braking).

Finally, if both forces are equal, the object will move at a constant speed or remains at rest. Since the box is moving at a constant speed, we can conclude the frictional force equals the applied force:

Magnitude of frictional force = 30 N

As light from a star spreads out and weakens, do gaps form between the photons?

Answers

there are no gaps in space. the light from the star weekend as it travels, but it just reduces the strength and doesn’t produce gaps.

How can Newton's third law describe the forces affecting a rocket as it
descends to Earth's surface?
A. The rocket can move downward because the forces acting on it
are unbalanced.
B. The maximum amount of force the rocket engines can provide
determines how much mass the rocket can lift.
C. The rocket pushes through the air with a force equal to that of
Earth's gravity pulling on the rocket.
D. The force the rocket exerts on the air is in the direction opposite to
the force that the air exerts on the rocket.

Answers

Answer:

its D

Explanation:

i took the quiz

The force the rocket exerts on the air is in the direction opposite to

the force that the air exerts on the rocket.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Every action has an equal and opposite response, according to Newton's Third Law. Burning fuel in a rocket causes a push that propels the rocket forward from the front. As a result, the exhaust gas is pushed in the opposite direction and equally.

The force the rocket exerts on the air is in the direction opposite to

the force that the air exerts on the rocket.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

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.

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 :)

What will be acceleration due to gravity of a feather and coin if
they are dropped in vacuum?​

Answers

Explanation:

Hey there!

We know that the objects in vacuum falls equally on the surface or bottom. As there is no air resistance in vacuum, the objects has equal stabdard acceleration. (i.e g = 9.8m/s^2)

So, the acceleration due to gravity is 9.8m/s^2.

Hope it helps....

HELP GIVING BRAINLIEST

Answers

Answer:

16: x4

17 x2

18; 4.5 for q1 and 4.5 for q2

Explanation:

The slope of a distance vs. time graph is a measurement called
A. displacement
B. speed
C. correlation
D. velocity

Answers

Answer:

B. speed

Explanation:

im not sure hahahaha

When a closed can is heated, the pressure inside it increases. This happens because

Answers

Answer:

the heat is growing the particles bigger

Explanation:

What kind of bond is formed between a metal and a metal
O All of the above
O lonic bond
O Metallic bond
O Covalent bond

Answers

Answer:

metallic bond

Explanation:

Answer is Metallic bond

A 7kg of ball experiences a net force of 5N, what will be its acceleration.

Answers

0.7 m/s


explanation:

5/7= 0.7 m/s

A runner completes two laps around a 400-m track. She runs the first lap in 1 min 32 s, and the second lap in 1 min 49 s. What is her average speed?

Answers

Answer:

The average speed is 3.98 [tex]\frac{m}{s}[/tex]

Explanation:

Speed ​​is a scalar quantity that shows the relationship between the distance traveled and the time taken.

In other words, speed is a scalar quantity that determines the ratio of the distance traveled by a body or object and the time it takes to cover that distance. Speed ​​does not take direction into account.

Average speed refers to the total distance traveled during a given time, which is equivalent to saying that it is the ratio of distance and time.

[tex]average speed=\frac{total distance}{totaltime}[/tex]

In this case you know that a runner completes two laps around a 400 m track, so the total distance traveled is 800 m.

On the other hand, you know that the runner completes the first lap in 1 min 32 s, and the second lap in 1 min 49 s. Being 1 min equivalent to 60 s, the first round is completed in 92 s and the second round in 109 s. So the total time to complete the two laps around the track is 92 s + 109 s = 201 s.

That is, being:

total distance=800 mtotal time= 201 s

and replacing in the definition of average speed:

[tex]average speed=\frac{800 m}{201 s}[/tex]

you get:

average speed= 3.98 [tex]\frac{m}{s}[/tex]

The average speed is 3.98 [tex]\frac{m}{s}[/tex]

Answer:

3.98 m/s

Explanation:

To find speed, use the formula:

Speed = Distance / time

The Distance is 400 + 400 = 800 m

The time in seconds is (60 + 32) + (60 + 49) = 201 sec

Now use the formula

Speed = 800 m / 201 s = 3.98 m/s

Branden ran at 6 m/s for a time of 300s. How much distance did he cover during his run?

Answers

Answer:

The covered distance was 1800 [m]

Explanation:

In order to solve this problem we must use the following formula of kinematics. It is important to make it clear that Branden's speed never changes during that time, or therefore the speed is constant.

[tex]x = x_{o}+v*t\\[/tex]

where:

x = distance [m]

Xo = initial position = 0

v = velocity = 6 [m/s]

t = 300 [s]

Now replacing we have:

x = 0 + (6*300)

x = 1800 [m]

Podbijest has a net force of 49 Nading on it and it is accelerating at a rate of 8 mil. What is its med
5 kg
8 kg
40 kg
48 kg

Answers

Answer:

6.125kg    

Explanation:

Given parameters:

  Force  = 49N

  acceleration  = 8m/s²

Unknown:

Mass of the object  = ?

Solution:

From newton's second law;

    Force  = mass x acceleratioin

    49 = mass x 8

       mass  = [tex]\frac{49}{8}[/tex]   = 6.125kg    

 

Bob is pushing a heavy couch to another part of the living room. Bob is pushing with a force of 10 N to the right while the couch is pushing against Bob with a force of 8 N. What is the total net force due to Bob's pushing?

A. 18N to the right
B. 2N to the right
C. 18N to the left
D. 2N to the left​

Answers

D. 2N to the left ...............................
D. 2N to the left ......

What do zooplankton and krill have in common?

Answers

Hello, thank you for choosing brainly today. My name is Ethan and I'll be solving your question. "What do zooplankton and krill have in common?"

Krill and plankton are two groups of organisms found in the ocean. Krill are species of crustacean related to shrimp, and serve as a very important link in the food chain of the sea. Plankton consist of a larger group of organisms with much more variety, including bacteria, algae, protozoans, jellyfish and some species of cephalopods.

Propulsion

The primary factor that determines whether a species is plankton or not is propulsion. Plankton organisms lack the ability to swim against the tide, and instead float from place to place on sea currents. They may be capable of some movement, and some types of plankton can even hunt for food, but none is powerful enough to make its own headway through the ocean. Adult krill are capable of swimming against currents, but their larvae and eggs fall into the plankton category.

Variation

Krill are crustaceans of the Euphausiacea order, which consists of 86 different species. Plankton, on the other hand, can come from a wide variety of different species and orders. Plankton fall into three broad categories, depending on their primary function. Phytoplankton are plant-like organisms, capable of photosynthesis. Zooplankton are animal plankton species that get their nutrients by eating other microscopic organisms. Bacterioplankton are the smallest plankton, and often serve as food for zooplankton and other lifeforms.

Appearance

Krill species have similar characteristics and generally resemble tiny shrimp. Most species reach around 2 centimeters (0.8 inches) as adults, while the largest species can reach sizes of up to 15 centimeters (5.9 inches). Plankton, on the other hand, consists of organisms of many different shapes and sizes. The smallest categories include microscopic viruses, protozoans, small crustaceans, and other tiny organisms. At the larger end of the scale, megaplankton are any plankton over 2 centimeters (0.8 inches) in size, and include large animals, such as cephalopods and jellyfish. The largest plankton is the lion's mane jellyfish, which can reach 2.5 meters (8.2 feet) in diameter and grow tentacles more than 36.5 meters (120 feet) long.

Role

Plankton and krill serve similar, but slightly different, roles in the food chain. Phytoplankton synthesize nutrients, while bacterioplankton recycle nutrients from decomposing matter in the ocean, providing some of the fundamental sources of nutrition for all ocean creatures. Zooplankton serve to concentrate those nutrients by eating smaller plankton and serving as food for larger creatures. Krill are one step up in the food chain, eating plankton and serving as a nutrient bridge from microscopic life forms to larger fish and mammals.

What is the most effective way to breathe during strength training?

Answers

You might be tempted to hold your breath while you're lifting weights. Don't hold your breath. Instead, breathe out as you lift the weight and breathe in as you lower the weight.

what is measurement ?​

Answers

Answer:

Measurement is the assignment of a number to a characteristic of an object or event

Explanation:

Answer:

Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or event

A neutral atom of alluminum has 13 protons and how many electrons

Answers

Answer: also 13

Explanation: because there have to be an equal number of protons,neutrons,and electrons to make the atom stable.

It has 13 atoms I’m 100% sure
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