How do I solve this arithmetic sequence?

How Do I Solve This Arithmetic Sequence?

Answers

Answer 1

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist


Related Questions

The tallest Ferris wheel in the world is located in Singapore. Standing 42 stories high and holding as many as 780 passengers, the Ferris wheel has a diameter of 150m and takes approximately 30 minutes to make a full circle. Determine the speed of the riders (in m/s) on the Singapore Flyer.

Answers

Answer:

The speed of the riders on the Singapore Flyer is approximately 0.262 m/s

Explanation:

The dimensions of the tallest Ferris wheel in the world are;

The diameter of the Ferris wheel, D = 150 m

The tine it takes the Ferris wheel to make a full circle, T = 30 minutes = 30 min × 60 s/min = 1,800 seconds

The angular velocity of the Ferris wheel, ω = 2·π/T

The linear velocity of the Ferris wheel, v = r·ω = The speed of the riders

Where;

r = The radius of the Ferris wheel = D/2

D = 150 m

∴ r = 150 m/2 = 75 m

∴ v = r·2·π/T

∴ v = 75 m × 2 × π/(1,800 s) ≈ 0.262 m/s

The speed of the riders on the Singapore Flyer, v ≈ 0.262 m/s

A meteor moving through space speeds up as it gets closer to Earth. What force causes the meteor's speed to increase the closer it gets to Earth?

PLS Help

Answers

Answer:

gravity

Explanation:

its hard to explain its one of the resons we do gravity assists for space probes and such the meteor will catch earths gravity and be pulled in by it if you look at sednas orbit as it gets closer to the sun it speeds up.

The force that causes the meteor's speed to increase as it gets closer to Earth is the gravitational force of earth.

What is meant by gravity ?

Gravity is defined as the force by which a planet attracts another body towards its center.

Here,

The meteor was moving through space and the speed of the meteor started increasing as it moves closer to the earth.

This is because of the gravitational force of earth that is being exerted on the meteor. Gravitational force of earth is defined as the force of attraction that the earth exerts on another body in its gravitational field and draws them towards the center of the earth.

As the meteor moves towards the earth's , it gets accelerated by the earth's gravitational field such that the speed of the meteor increases and thus it attains more kinetic energy. As a result, the meteor moves faster when it gets closer to earth. This is because of the force of gravity of the earth.

Hence,

The force that causes the meteor's speed to increase as it gets closer to Earth is the gravitational force of earth.

To learn more about gravity, click:

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explain the motion of a ball bearing falling through a viscous liquid​

Answers

Answer:

its acceleration decrease because of the force acted upon by the viscous liquid

One of the most dangerous side effects of an erupting volcano is a

Answers

Answer:

One of the most deadly effects of a volcano is the ash coming from the eruption, which carries poisonous gases that are harmful to humans, plants, and animals alike.

Explanation:

:))))))))

A man lifts a 5 Newton bag of groceries
from the floor to the top of the countertop,
which is 1.1 meters tall. What is the work
done by this person in lifting groceries?

5
5.5
4.5
6

Answers

Answer:

5.5 J

Explanation:

W=F*D=5*1.1=5.5 J

Convert the temperature of the air in a room air-conditioned to 20.0 degrees Celsius to equivalent temperatures on the Fahrenheit and Kelvin scales.

Answers

Answer:

                       Freezing Water         Boiling Water

Centigrade             0                               100

Fahrenheit             32                               212

Kelvin                    273                              373

One needs to know these values for an understanding of the temperature scale

  9/5 C + 32 = F           Check for boiling points

 5/9 (F - 32) = C

Example:

  F = 9/5 C + 32 = 9/5 * 20 + 32 = 68 F

And deg K = C + 273

So 20 deg C = 293 deg K

Answer:

68 F and 293.16 K

Explanation:

T F= 1.8(20) + 32 = 68 F

TK= 20 +273.16 = 293.16 K

What variable do you think made this airplane fly the farthest?​

Answers

Answer:

How does the weight of the nose on a paper

airplane affect the distance it will travel

when measured in centimeters?

EXPERIMENT CONCLUSION: (Explain whether or

not your data supports, or fails to support your identified

prediction. Explain why, including facts and details!)

The distance did increase when I added 1 paper clip.

However, I was surprised that the distance decreased

when I added a second paper clip. I believe this

happened because the nose of the plane became too

heavy. When the plane was released, the nose of the

plane descended much quicker. I think the plane was

more balanced in weight when only 1 clip was on the

nose.

Heating up a reaction speeds up the rate of the reaction because...
A. The particles collide more and have more energy
B. The particles collide less
C. The particles collide less and have less energy
D. The particles collide more with the correct orientation

Answers

Answer:

A.

Explanation:

more heat = heat energy becomes more kinetic energy = more particle collision

Answer:

the answer is A.There is increased kinetic energy making them collide more and speeds up the rate of reaction.

Explanation:

Can you please help me?

Answers

Answer:

2nd one

Explanation:

highest frequency shortest wavelength

Answer:

highest frequency shortest wavelength

A constant speed is __________ because the distance traveled per unit of the time does not remain the same

Answers

Answer:

velocity

Explanation:

velocity is really speed with direction but is what remains constant as the distance changes.

Water is a great conductor of electricity. True or False

Answers

Answer:

False

Explanation:

Think about every warning on electrical products, which is 'DO NOT KEEP NEAR WATER'

Answer:

FALSE

Explanation:

Pure water is not a good conductor of electricity. ... Because electrical current is carried by ions in solution, conductivity increases as the ion concentration increases. In such a way, that the conductivity when water dissolves ionic compounds.

1200 calories isfind the change in internal energy of the system 1200 calories is removed from a gas held at constant volume give answers in kilojoule ​

Answers

divide those two then 300

Which of the following is the best
definition of tissue?
1 Pt
A
B
A. what organs are made of
B. your skin and muscles
C. parts of cells
D. a group of similar cells working together
E. None of the above

Answers

Kid stop giving links

Which benefit is provided by good flexibility?
A. less risk of injury
B. longer endurance
C. muscle growth
D. greater strength

Answers

: its c!! Hope this helps

Explain retrograde motion and why it confused early astronomers as they viewed the motion of objects in the sky.

Answers

Answer:

Explanation:

Retrograde motion in astronomy is, in general, orbital or rotational motion of an object in the direction opposite the rotation of its primary, that is, the central object (right figure). It may also describe other motions such as precession or nutation of an object's rotational axis. Prograde or direct motion is more normal motion in the same direction as the primary rotates. However, "retrograde" and "prograde" can also refer to an object other than the primary if so described. The direction of rotation is determined by an inertial frame of reference, such as distant fixed stars.

Retrograde motion occurs when a planet far from another planet and from which it is seen rotates at lower speed, creating the impression that it is "retrograding" with respect to the other planet.

Early astronomers get confused as they viewed the motion in the sky because they tried to explain it in terms of the geocentric theory.

Let suppose that we have a planetary system formed by a star and two planets rotating uniformly around the star. Besides, we assume that both planets are rotating at different velocities, and that planet A is more far away from the star than planet B, then the velocity of the planet A relative to planet B is:

[tex]\vec v_{A/B} = \vec {v}_{A}- \vec {v}_{B}[/tex] (1)

A retrograde motion of planet A occurs when [tex]\|\vec v_{A/B}\|\ne 0[/tex] and if [tex]\|\vec v_{A}\| < \|v_{B}\|[/tex] at least. In other words, retrograde motion exists when speed of planet A is less than speed of planet B, creating the impression that planet A is "retrograding" with respect to planet B.  This question is easy to solve and to explain by considering the star as an inertial framework, base of the heliocentrical model.

Early astronomers were confused and unable to explain the phenomenon due to their adherence to geocentrical model, which assumed the Earth was the center of the solar system.

We kindly invite to check this question on retrograde motion: https://brainly.com/question/13586212

A large spool in an electrician's workshop has 65 m of insulation-coated wire coiled around it. When the electrician connects a battery to the ends of the spooled wire, the resulting current is 1.8 A. Some weeks later, after cutting off various lengths of wire for use in repairs, the electrician finds that the spooled wire carries a 2.9-A current when the same battery is connected to it. What is the length of wire remaining on the spool

Answers

Answer:

[tex]40.34\ \text{m}[/tex]

Explanation:

[tex]L_1[/tex] = Length of wire = 65 m

[tex]I_1[/tex] = Initial current = 1.8 A

[tex]I_2[/tex] = Final current = 2.9 A

We know

[tex]R\propto \dfrac{1}{I}[/tex]

and

[tex]R\propto L[/tex]

[tex]\dfrac{V}{I}\propto L\\\Rightarrow L\propto \dfrac{1}{I}[/tex]

so

[tex]\dfrac{L_2}{L_1}=\dfrac{I_1}{I_2}\\\Rightarrow L_2=\dfrac{I_1}{I_2}L_1\\\Rightarrow L_2=\dfrac{1.8}{2.9}\times 65\\\Rightarrow L_2=40.34\ \text{m}[/tex]

The length of the wire remaining on the spool is [tex]40.34\ \text{m}[/tex].

I want simple machine is shown in the diagram

Answers

Answer:

A Wheel and Axle

Explanation:

Convertir 1200 ms a cs
Convertir 0,3 mm a cm.

Answers

Answer:

You can do the reverse unit conversion from cm/s to m/s, or enter any two units below: Metre per second (U.S. spelling: meter per second) is an SI derived unit of both speed (scalar) and velocity (vector quantity which specifies both magnitude and a specific direction), defined by distance in metres divided by time in seconds.

Explanation:

Which of the following is an example of a chemical reaction? A. mixing sugar and water B. melting wax c. tearing up a piece of paper D.burning paper

Answers

Answer:burning paper

Explanation: it’s burned, you can’t put it back together ( you can’t undo a chemical reaction/ change )

the energy transfer that takes place by direct contact is called ____

Answers

Answer:

Conduction

Explanation:

The transfer of energy through matter by direct contact of particles is called. Conduction.

Answered by the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!!

__________ is the theory that living things come from other living things.
A.
spontaneous generation
B.
evolution
C.
Darwinism
D.
cell theory

Answers

Answer:

A.spontaneous generation

I’m not sure how to determine the answer to this, I specifically need help with B.

Answers

Answer:

B. From positions A and D.

Explanation:

Types Of Energy Transfers

Heat can be transferred in three ways: by conduction, convection, and by radiation.

Conduction is the transfer of energy from one molecule to another by direct contact. Convection is the movement of heat by a fluid such as water or air. Radiation is the transfer of heat by electromagnetic waves.

Describe how rainforests are more diverse than arctic ecosystems. Give examples of ecological diversity, species diversity, and genetic diversity.

Answers

Answer:

Rainforests contain around 50% of all life on Earth and only take up 6% of the Earths surface area. It contains more species of plant and animals than any other ecosystem. It's climate and geography lend it to growing more plant life which sustains many small animals. The arctic is inhospitable to most species because of the extreme cold. It's food webs do not sustain themselves well as there are fewer species at the bottom the the chain. The genetic variations are greater at the equator than the arctic giving the organisms a greater chance to survive.

Rainforests are far more diverse than arctic ecosystems because of the amount of sunlight and the rain it receives throughout the year.

What are biomes?

Biomes can be defined as regions specified by particular biological and geographical communities that evolved because of the shared regional climate of that region.

Generally, there are mainly five major types of biomes those are forest desert grassland aquatic, and tundra.

Even though they only cover 6% of the planet's surface, rainforests are home to about 50% of all living. More plant and animal species may be found there than in any other habitat.

The high temperature of the arctic makes it uninhabitable for the majority of creatures. Because there are fewer species at the base of the food chain, its food webs are unable to support themselves.

Because there are more genetic variants around the equator than in the north, species there has a better chance of surviving.

Thus, rainforests are far more diverse than arctic ecosystems.

Learn more about biomes from here,

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Help pweaseeee ill give u a brainlest

Answers

Answer:

Mass of the larger object

Un cuerpo cuya masa es de 20 kg se lleva primero a la luna y luego a marte. Teniendo en cuenta el factor que liga masa y peso en marte es de 3,8 N/Kg

Answers

Answer:

W = 76 N

Explanation:

In this exercise you are asked to find the weight of the body.

Mass is a quantity that is invariant, it measures the same everywhere, the weight depends on where it is measured, a simple way to find the weight of a body is

          W = g m

where g is the constant of the place, in this case we have the weight of the body on Mars and its mass which is constant on Earth and on Mars

            W = 3.8 20

            W = 76 N

Which one of the following is NOT acceleration
A.
a change in mass
B.
a change in direction
C.
an increase in velocity
D.
a decrease in velocity

Answers

Answer:

change in direction

Explanation:

ans maybe correct

kūna veikia 3N jėga kurios petys 20 cm. Koks jos momentas?​

Answers

Answer:

0.6Nm

Explanation:

Moment = Force * perpendicular distance

Given

Force = 3N

Distance = 20cm = 0.2m

Get te moment

Moment = 3 * 0.2N

Moment = 0.6Nm

Hence her moment is 0.6Nm

5. A boy rides his skateboard 50 meters (m) West. Then he turns around
and goes 20 m East. What is the boy's DISPLACEMENT? *

Answers

Answer:

-30 m

Explanation:

50-20 but the direction is going west so it’s negative

definition of mass number​

Answers

Answer:

The total number of protons and neutrons in a nucleus.

Explanation:

I memorized it.

Answer:

Mass number of an atom is defined as the sum of the number of protons and number of neutrons.

anyone good at physics that can help me plss

Answers

what is the question ?

Answer:

Where is the question?

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-_-

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-_-

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