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

PLEASE HELP!!! *FOR TEST TMR*
What is the Scientific definition of Consumerism?

Answers

Explanation:

Consumerism is a social and economic order that encourages the purchase of goods and services in ever-greater amounts. ... In economics, consumerism refers to economic policies placing emphasis on consumption.

Eren Jagear supremacy? kind of.. rip? Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?Eren Jagear supremacy? kind of.. rip?​

Answers

sis i love the eren season 1-2-3-4 but the eren season 5?....... i just :')

Answer:

Explanation:

Aaron yogurt supremacy

What could be the average human density? Justify?

Answers

Answer:

985 kg/m3

Explanation:

The average density of the human body is 985 kg/m3 k g / m 3 , and the typical density of seawater is about 1020 kg/m3 k g / m 3 .

Explanation:

the worldwide human population density is around 7,500,000,000 ÷ 510,000,000 = 14.7 per km2 (38 per sq. mi.). If only the Earth's land area of 150,000,000 km2 (58,000,000 sq. mi.) is taken into account, then human population density is 50 per km2 (129 per sq.

A machine designed to stretch a stiff spring uses 1,550 J of energy to stretch the spring. If the work output is 1,200 J, what is the machine’s efficiency?

Answers

Answer:

77%

Explanation:

efficiency= work output/work input X 100%

e = 1,200j/ 1,550 j x100%

e = 1,200/1,550= 0.77

e = 0.77 x 100%

e = 77%

Planetesmals are made from

Answers

A planetesimal is an object formed from dust, rock, and other materials. According to the planetesimal hypothesis, when a planetary system is forming, there is a protoplanetary disk with materials from the nebulae from which the system came. This material is gradually pulled together by gravity to form small chunks.

Brainliest or a thank you please :)) <3

Which of the following is not true about a scientific name?

a. they should be typed in italics
b. they are derived from Greek and Latin words
c. they contain a genus and species name
d. they can vary from location to location

Answers

Then answer would be D

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:

:))))))))

If a fish is trying to capture insect hovering above the surface of water – how will it jump to catch it? Will it aim above or below what it sees? Explain.

Answers

Answer:

Above

Explanation:

yes

what forces are being used when walking a dog and how ?

Answers

There are tons of forces that balance out on your body while you walk. Subsequent physics classes will tell you about each and how they are represented. Here are a few in order of how people usually learn them.

Gravity: The earth exerts a gravitational force on each particle in your body that has mass. Overall, this can be represented as a single force that pulls directly toward the center of the earth from the point called your center of mass.

Normal Force: The contact between your feet/shoes and the ground exerts a force normal (straight out from) the ground. If you are on flat ground, this force is directly opposite the force of gravity, and in most cases will be equal to it such that you have no vertical net force.

Friction: Friction between your shoes/feet and the ground, pointing parallel to the ground and in the direction of your walking motion creates the force necessary for you to move. The microscopic peaks and valleys of the ground and your feet/shoes create small normal forces that can sum into a direction of motion.

Air Buoyancy: Since you are in a fluid, the mass of the fluid you displace creates an upward force away from the center of the earth. Since the density of air is miniscule, this force is generally neglected except in the most precise of circumstances.

Drag and Air resistance: While you walk, as you move through a fluid, that fluid exerts friction on your body in the form of drag. It is usually small unless you’re moving very fast relative to the fluid.

Air pressure, blood pressure, body tensions: Your body has a balance of blood pressure, muscle tensions, which oppose outside air pressures which equalize out to form the shape your body is in.

Internal forces: Many forces act within you such as air pressure, other muscle tensions, and internal stresses which balance out. Usually in physics these are lumped under internal forces.

8. An electric force F exists between two objects, both having thecharge, q. If the charge on one object is doubled to 2q, the force
between the objects becomes
A. 1/4 F
B. 1/2 F
C. 2F
D. 4F

Answers

the answer is A 1/4f because it is doubled to 2q and you need to flip it

Sara travels east 6 miles and then goes south 3 miles and then north 8 miles. What is her displacement? Round
your answer to two significant figures.
a
Ob
6.3 miles SW
7.8 miles SW
0 miles
5.7 miles SW
7.8 miles NE
6.3 miles NE
od
Оe
Of
5.7 miles NE
Oh
9.1 miles sw
9.1 miles NE

Answers

Answer:

Explanation:

so her displacement is the distance from the start... she's now at a point (6,5) away from the start..  so what's the length of the side of the right triangle made by one side of 6 and the other of 5

Yes.. use Pythagoras theorem to solve this

C =  √([tex]6^{2}[/tex]+[tex]5^{2}[/tex])

C = √(36 + 25)

C = √61

C = 7.810  miles.. north east of where she started

C = 7.8 miles NE   :P

According to ohms law, as the voltage increases across a 40 ohm resistor what happens to the current, resistors, and resistance

Answers

Answer:

As the voltage increases, the current flowing through the circuit increases while the resistance of the resistor remains constant.

Explanation:

Ohm's law states that the current flowing through a circuit is directly proportional to the applied voltage.

V = IR

where;

I is the current

R is the resistance

V is the applied voltage

Based on this law (Ohm's law), as the voltage increases, the current flowing through the circuit increases while the resistance of the resistor remains constant.

What is sin(77°)? plz help​

Answers

Answer:

Value of Sin(77 degree) = 0.97437006

Degree / Radian Function

(angle in degree) (angle in radian) Sin Cos Tan Cot Sec Cosec SinH CosH TanH CosecH SecH CotH Arc Sin Arc Cos Arc Tan Arc Cosec Arc Sec Arc Cot

Determine whether a moving tennis ball and a racket held by the player have the same momentum or different momentum. If different, determine which object has more momentum.

Answers

Answer:

key points:1.momentum and impulse

2.condition for conservation of momentum and why

3.how to solve collision problems

4.centre of mass

Explanation:

momentum is a vector

force of a tennis ball

for a top player,a tennis ball may leave the racket on the with a speed of 55m/s(about 120mi/h).if the ball has a mass of 0.060kg and is in contact with the racket for about 4ms(4×10)s.estimate the average force on the ball

A sound wave is produced by a musical instrument for 0.40 second. If the frequency of the wave is 370 hertz, how many complete waves are produced in that time period? *
A) 200 waves
B)150 waves
C)100 waves
D) 50 waves

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

The number of waves produced by the musical instrument during the given time is 148 waves.

What is meant by frequency of a wave ?

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of the wave, f = 370 Hz

That means the wave completes 370 oscillations in 1 second. Or 370 waves are produced by the musical instrument in 1 second.

The time taken by the instrument to produce waves, t = 0.4 s

Therefore,

The number of waves produced by the musical instrument during this time is,

n = f x t

n = 370 x 0.4

n = 148

Hence,

The number of waves produced by the musical instrument during the given time is 148 waves.

To learn more about frequency of a wave, click:

https://brainly.com/question/3693482

#SPJ3

What is one benefit of a cardio kickboxing workout?
A. It is a total body exercise.
B. It focuses specifically on aerobics.
C. It focuses specifically on anaerobics.
D. It focuses on the core muscles.

Answers

Answer:

D. It focuses on the core muscles

Answer:

A. It is a total body exercise

Explanation:

In cardio kickboxing as described by my school is "

a total body exercise that combines aerobic and anaerobic workoutsan improvement in body fat compositionan efficient use of workout timea boost in confidence and self-esteemrelief of stress and increased energy levelsvaluable self-defense skills

The first benefit is the one which we are focusing on because all the other answers are correct but A. Total body exercise is the best answer because it covers all of them as an compendious answer

Also I took the test and got this correct

What is the average speed of a car that travelled 400 miles in 6 hours?

Answers

Answer:

About 66 miles per hour

Explanation:

Based on the information given we can assume the car traveled the same number of miles every hour meaning all we need to do is divide.

400/6 ≈ 66 miles per hour

Answer

66 mph

Explanation:

400 ÷ 6 = 66.666666666666666.......

Dos resistencias de 30 y 20 Ω se conectan en seria a un generador que tiene una diferencia de potencial de 20 V entre sus bornes. a. Determina la resistencia equivalente de la asociación b. Dibuja el circuito y coloca un amperímetro que indique el valor de la intensidad de la corriente y unos voltímetros que muestren la diferencia de potencial entre los extremos de las resistencias ¿Qué valores muestran estos aparatos?

Answers

Answer:

   V = 12V,  V = 8V

Explanation:

a) In this series circuit the equivalent resistance is

          Req - R1 + R2

          Req = 30 + 20

          Eeq = 50 Ω

b) see attached

c) the circuit current is

          i = V / Req

          i = 20/50

          i = 0.4 A

voltages are>

         V = 0.4 30

          V = 12V

           V = 0.4 20

            V = 8V

A 5kg book is slid across the floor with an initial velocity of 3m/s. It slows and stops due to the friction with the floor. How man joules of work did friction do?

Answers

Answer:

SUP DAD i love cookies

Explanation:

yuh

As distance ________________ between two objects, gravitational force will _________________. *
1 point
a. increases, increase
b. increases, decrease
c. decreases. increase

Answers

Answer:

b. increases, decrease

Explanation:

6
Which of these statements is true?
А
Acceleration in the direction of motion slows you down
B.
Acceleration in the direction of motion speeds you up
C
Acceleration against the direction of motion has no effect
on your speed
D
Acceleration against the direction of motion speeds you up

Answers

Answer:

B. Acceleration in the direction of motion speeds you up

Explanation:

Acceleration is defined as when something gains speed. For example, when a car speeds up. Deceleration is when the car slows down, and looses speed. When defining these terms, think of a car going faster, then slowing down at a red light.

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

If the vehiche has a speed of 24.0 m/s at point a what is the force of the track on the vehicle at this point?

Answers

Question:

A roller-coaster vehicle has a mass of 500 kg when fully loaded with passengers.  If the vehicle has a speed of 20.0 m/s at point A, what is the force exerted by the track on the vehicle at this point?

See attachment

Answer:

33700 Newton

Explanation:

Given

[tex]m = 500kg\\v = 24.0m/s\\r=10m[/tex]

First, we determine the forces acting on mass m.

They are: the force exerted by the track (Fn) and the weight of the vehicle (W)

So, the net force is:

[tex]F_{net} = F_n - W[/tex]

[tex]W=mg[/tex]

So:

[tex]F_{net} = F_n - mg[/tex]

Make Fn the subject

[tex]F_n = F_{net} + mg[/tex]

Fnet is calculated as:

[tex]F_{net} = F_c = \frac{mv^2}{r}[/tex] --- i.e. the centripetal force

So:

[tex]F_n = F_{net} + mg[/tex]

[tex]F_n = \frac{mv^2}{r} + mg[/tex]

[tex]F_n = \frac{500 * 24^2}{10} + 500 * 9.8[/tex]

[tex]F_n = 28800 + 4900[/tex]

[tex]F_n = 33700N[/tex]

Describe the forces that are acting on a person who is standing still on a sidewalk, and identify whether the forces are balanced or unbalanced. Describe how the forces would change if the person started walking.

Answers

Answer:

a. i His weight and the normal force on him due to the ground

ii The weight and the normal force are balance

b. There are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.

Explanation:

a. i Describe the forces that are acting on a person who is standing still on a sidewalk

His weight and the normal force on him due to the ground act on him while the person is standing on the sidewalk

ii. identify whether the forces are balanced or unbalanced.

The weight and the normal force are balance because, the person does not move in the vertical or horizontal direction.

b. Describe how the forces would change if the person started walking.

When the person starts walking, the backward push due to his leg on the ground and the frictional force between his feet and the ground now acts on him in the horizontal direction. The frictional force acts in the forward direction and tends to move him forward. His weight and normal force on his feet still act vertically and are both balanced since he does not move in the vertical direction.

So, there are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.

A bird flies South for the winter at a constant force of 51 N. Suddenly a wind with a force of 35 N blows due South. What is the net force of the bird?

Answers

Answer:

86N

Explanation:

The bird is going south and the wind is also blowing south so all the force is acting in the same direction thus it all adds up.

pls help 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:

C

Explanation:

Am increase in velocity?

Answer:

change in mass is not acceleration

Help it is timed help

Answers

Answer:

It is an object that remains a magnet forever.

Explanation:

I need help plz!!! Please help...

Answers

Answer: 60

Explanation:

Calculate the weight of a 2.3 kg squirrel

Answers

Answer:

Lemme think rq

*inserts writing noises*

*insert intese thinking*

*insert big brain moment*

Well the weight IS 2.3 kg so I think the weight of a squirrel is 2.3 kg

Can someone Please help me ?

Answers

up then down, think of it as like a rope
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