Write the rule for the nth term of geometric sequence a1=6 and r=3

Answers

Answer 1

Step-by-step explanation:

Hey there!

Given;

a1 = 6

and r = 3

Then;

Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.

[tex]nth \: term \: of \: geometric \: sries = {a}^{} . {r}^{n - 1} [/tex]

Now, keep all values.

[tex]nth = 6 \times {3}^{n - 1} [/tex]

So, it becomes like this.

Therefore, the rule is nth= 6*3^n-1.

Hope it helps!


Related Questions

25/24 as a decimal and round it to the nearest hundredth

Answers

Answer:

1.04

Step-by-step explanation:

25/24=1.04166667

round: 1.04

Explain why 4x+1 is equal to 2x+12

Answers

i think
4x+1=2x+12
4x+1-2x=12-1
2x=11
x= 11/2
simplified version is x= 5.5
It’s a simultaneous equations:
4x+1=2x+12
So you have to move x to the same side means you have to switch the side for 1 and 2x (if you you are changing the side the value will be negative when it is switched but if the value is positive it will be negative when you switch the side)
4x-2x=-1+12
Now you have to simplify it.
2x=11
Now this is the last step. You need to change the value “2” to the another side. Since 2 is multiplying with x so when you switch the side it will divide with 11.
So, x=11/-2
It’s negative 2 because it switched the side.
Final answer is: x= -5.5
Now find the value for y.
Since you have found the value of x you can calculate the value of y: y=4(5.5)+1=23
y=2(5.5)+12=23
Now as you can see here that the value of y for both equations is the same so that’s why 4x+1 is equal to 2x+12

I hope you understand my explanations.

Solve for x. Round to the nearest tenth of a degree, if necessary

Answers

Answer:

39

Step-by-step explanation:

sin^-1(x)= 39/62

x= 38.97

x=39

The answer would be 39

A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%

What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°​

Answers

Answer:

B. 54°

Step-by-step explanation:

There are 360° in a circle and sector 4 consists of 15% of it.

We just have to multiply the 2 numbers.

15% = 0.15

0.15(360) = 54

Question 38
Two cuboids are congruent. Which statement about their properties

a.Each face has the same area

b.One is larger than the other

c.They have the same volume

d.The sum of the angles is 360°​

Answers

a because the face are always going to be the same.

Evaluate: - 5 - 3 3/4 - 1/6 + 1/6 + 3 3/4 + 10

A 15

B 10 1/4

C 5

D -5 1/12

Answers

Answer:

the answer is c

Step-by-step explanation:

True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.

Answers

Hi there!

[tex]\large\boxed{\text{False.}}[/tex]

f(x) = 2(1/5)ˣ

Recall the form of an exponential function:

f(x) = a(b)ˣ where:

a = initial value

b = rate of decay/growth

If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.

1/5 < 1, so the function is undergoing exponential decay, not growth.

Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I

Answers

Answer: Choice G  (lower left corner)

Why is this? Recall that (x-h)^2+(y-k)^2 = r^2  is the general template of a circle. The center being (h,k) and the radius is r.

For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.

The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.

The function f(x) is graphed below. what is f(1)?

Answers

Answer:

f(1) = - 3

Step-by-step explanation:

Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then

f(1) = - 3

PLS HELP
What is the value of x ?

A. 42

B. 43

C. 84

D. 86

Answers

The value of X would have to be A-42

Answer:

B

Step-by-step explanation:

x+x+94 = 180 (sum of angle of triangle)

2x+94 = 180

2x = 180-94

2x = 86

x = 86÷2

Therefore x = 43

help me plsssssssssssss

Answers

Answer:

do you still need help

Step-by-step explanation:

???


Evelyn has dance class every Saturday. It lasts 1 hour and 40 minutes and is over at 12:45 P.M.

At what time does Evelyn's dance class begin?

Evelyn's dance class begins at
:

?

Answers

Answer:

Evelyn's dance class on Saturday starts at 11:05 A.M.

Step-by-step explanation:

I know this because if her class takes an hour and 40 minutes you would subtract the hour and 40 minutes from 12:45 so you could do 12 - 1 which equals 11. Then you would do 45 - 40 which equals 5. And last you would put the new times together so it would be, 11:05. Her dance class starts at 11:05 A.M.

A secretary works a 35-hour week for which she is paid $262.50. If in a particular week she works 6 hours overtime on Saturdays which is paid for at time - and - a - half and 4 hours overtime on Sunday which is paid for a double time. calculate her gross wage for that week​​


no links please​

Answers

Answer:

$390

Step-by-step explanation:

262.50/35 = 7.5 per hour during normal week

Saturdays  11.25 per hour

Sundays   15 per hour

6x11.25 = 67.5

4x15=60

   262.50 +67.5 +60 = 390

someone PLEASE HELP!!!

answer explanation = brainliest, 5 star rating


A cube is dilated by a factor of 3.5.

The volume of the resulting cube is ___ times the volume of the original cube.

Answers

Answer:

A cube is dilated by a factor of 3.5.

The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.

Answer:

the volume of cube diladet

9375

_______

Please help. Thank you....

Answers

The answer is B

Hopefully this helps

Help me pls I’m giving brainlest plsss helpp

Answers

Wouldn’t the answer be 6.9? Because all of the other numbers are lower than 3. In this case, the number would need to be higher due to the fact that the x part is bigger than the 3?

Find the volume of a sphere that has a radius of 6 in

Answers

Answer:

volume = 904.78 cubic inch

Step-by-step explanation:

[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]

Answer:

904,32 in³

Step-by-step explanation:

The formula for finding the volume of a sphere with given radius is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

You simply substitute r³ with 6³:

[tex]V=\frac{4}{3} \pi 6^3[/tex]

Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³

In the figure below, what is the measurement of GH ?

Answers

Answer:

C. 4

Step-by-step explanation:

first off, we know we need the value of HJ to solve for GH. Luckily for us HJ is congruent to JK, and we have the values to solve for that using pythagorean theorum.

4^2 + JK^2 = 5^2

16 + JK^2 = 25

JK^2 = 9

JK = 3

now we can solve for GH

3^2 + GH^2 = 5^2

9 + GH^2 = 25

GH^2 = 16

GH = 4

PLEASEEEE help I will give you BRAINLEST

Answers

Y= x+6

I hope you pass

Answer:

y=2x+3

Step-by-step explanation:

2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?​

Answers

Liam ate more
Explanation:
first convert one of the fractions to the same denominator as the other one. personally, I chose to simplify 4/10 to 2/5. this leaves us with a common denominator of 5, and it makes the problem much easier/simpler to look at.

3/5 - 2/5 = 1/5
Liam ate 1/5 more chocolate than Sam

5 (3z-3) =30 it’s from delta math 8 grade

Answers

Answer:

[tex]5[/tex]

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

5 (3z-3) = 30

15 z - 15 = 30

15 z = 30+ 15

15z = 45

z= 45/ 15

z= 3

Someone that can help ?!?!

Answers

Answer:

D

Step-by-step explanation:

just by my experience and the look of it, but its super easy to put these in "MathPapa Algebra Calculator", and check. I use it for everything!

I am pretty sure it is answer D

This probability distribution shows the

typical grade distribution for a Geometry

course with 35 students.

Grade

A

B

с

DF

Frequency 5

10

15

3

2

Find the probability that a student earns a

grade of B.

p = [?]

Enter a decimal rounded to the nearest hundredth.

Answers

Answer:

0.29

Step-by-step explanation:

Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35

Frequency of grade B = 10

Probability = required outcome / Total possible outcomes

Required outcome = frequency of grade B = 10

Total possible outcomes = total grade frequency = 35

P(B) = 10 / 35

P(B) = 0.2857

P(B) = 0.29

Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions.

Answers

Answer:

[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]

Step-by-step explanation:

Given

The fractions are:

[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]

Required

How the fractions can be rewritten

The fractions can be rewritten by taking the LCM of the denominators.

The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]

So, we have:

[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]

Simplify the numerators

[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]

Now, the fractions can be ordered based on the numerators

[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]

Return to original form

[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]

A manager at a shipping company will purchase boxes in the shape of right rectangular prisms. He wants the volume of each box to be exactly 98 cubic feet. Which figure shows a box with the dimensions, in feet (ft), that the manager will purchase?

You have 4 options... which one do you think is correct
winner gets brainlest!! along with 50 points

Answers

Answer:

the first one

Step-by-step explanation:

To find the answer we want to find the volume of each rectangular prism

Which ever prism has an exact volume of 98 is the correct answer

( note that volume of a rectangular prism = length times width times height )

For the first answer choice

4 * 3.5 * 7 = 98

We get an outcome of 98, which means that the first one could possibly be the correct answer however lets find the volume of the rest of the prisms just to be safe.

For the second one

6.25 * 7 * 2 = 87.5

87.5 ≠ 98 therefore the second choice is not correct

For the third one

3 * 6.5 * 5 = 97.5

97.5 ≠ 98 therefore the third choice is not correct

For the fourth one

7.5 * 1 * 14 = 105

105 ≠ 98 therefore the fourth choice is not correct

So we can conclude that the first answer choice is correct

In a group of 120 recruits at the police academy 80 are college graduates and 25 are army veterans. If 15 of the recruits are both college graduate and army veterans as shown above, how many are neither college graduate nor army veterans?

Answers

Answer:

the number of recruits neither be college graduate and nor army veterans is 30

Step-by-step explanation:

The computation of the number of recruits neither be college graduate and nor army veterans is as follows;

= Total recruits - (college students + army veterans - both college graduates & army veterans)

= 120 recruits - (80 + 25 - 15)

= 120 recruits - 90  

= 30

hence, the number of recruits neither be college graduate and nor army veterans is 30

9c+1 = 10
What is c?

Answers

Answer:

c=1

Step-by-step explanation:

9c+1 = 10

Subtract 1 from each side

9c+1-1=10-1

9c = 9

Divide by 9

9c/9 = 9/9

c = 1

i need a job please help lol

Answers

Answer:

just say something inspiring and formal

Lee took 10 pictures with a camera and 2 of them were pictures of airplanes.
What percent of the pictures that Lee took were pictures of airplanes?

Answers

Answer:

20%.

Step-by-step explanation:

100/20 is 20%, but so is 10/2 because it is the same, but simplified.

Write an inequality for the graph below.


DO NOT PUT A LINK!

Answers

Answer:

y=1/4x+1

i think

Step-by-step explanation:

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