what is the rule for this sequence? 1, 4, 16, 64, 256

Answers

Answer 1
Every time you multiply by 4.
1 * 4 = 4
4 * 4 = 16
16 * 4 = 256
and so on.

Hope this helps!
Answer 2

Final answer:

The rule for the given sequence is to multiply the previous term by 4. The sequence follows a pattern of 4 raised to the power of increasing integers starting from 0.

Explanation:

The sequence given is 1, 4, 16, 64, 256. To find the rule for this sequence, let’s examine the relationship between the consecutive numbers.

1 multiplied by 4 is 4

4 multiplied by 4 is 16

16 multiplied by 4 is 64

64 multiplied by 4 is 256

So, the rule for this sequence is to multiply the previous term by 4 to get the next term. Another way to express this is that each term is 4 to the power of n, where n is an increasing integer starting from 0 (4^0 = 1, 4^1 = 4, 4^2 = 16, and so on).


Related Questions

During a thunderstorm 600 millimeter of rain fell in 30 minutes how fast did the rain fall in millimeters per hour

Answers

20 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How many megabytes can a 4.7 gigabyte DVD store

Answers

only about 12 or 13 gb's are very small

There are 1000 megabyte in 1 gigabyte

4.7 x 1000 = 4700 megabyte

4700 megabyte is your answer

hope this helps

what is a decimal factor

Answers

a fraction where the denominator is the power of ten. you can write a decimal fraction with a decimal point, which make it easier to do calculations like multiplication and addition fractions

What is 45.261 in expanded form

Answers

40.00+5.00+0.200+0.060+1=45.261

On a adventure trail, you biked 12 mi, walked 4 mi, ran 6 mi, and swam 2 mi. What fraction of the total distance did you bike? Write this number as a decimal.

Answers

First you want to add all of those together.
12 + 4 + 6 + 2 = 24
So there are 24 miles in total.
Next, it says she biked 12 miles so you make a fraction.
12 / 24 which can be reduced to 1/2.
She spent one half of the total distance biking.
Hope this helps!

You biked 1/2, or 0.5, of the total distance on the adventure trail. The total distance covered was 24 miles.

To calculate the fraction of the total distance that you biked, we first need to determine the total distance covered in the adventure trail.

Biking: 12 milesWalking: 4 milesRunning: 6 milesSwimming: 2 miles

Adding these distances together gives us a total distance of:

Total Distance = 12 + 4 + 6 + 2 = 24 miles

The fraction of the distance biked is then given by the biking distance over the total distance:

Fraction Biked = 12 miles / 24 miles = 1/2

To express this fraction as a decimal, we perform the division:

Decimal Form = 1 ÷ 2 = 0.5

Therefore, you biked 1/2 (or 0.5) of the total distance.

Laura is trying to find the volume of a cone. So far she has found the area of the base of the cone and multiplied it by the height of the cone. Describe what she needs to do next.

Answers

Laura has found the volume of a cylinder. This means, she will need to subtract volume from this shape in order to reveal a cone. She should then proceed to find the area of half the base multiplied by the height and then multiply this quantity by [tex]2\pi r[/tex] where r is length of half the base. She will take this quantity and subract it from her previous quantity.

Laura will need to subtract the volume from this shape in order to reveal a cone.

How to find volume of a right circular cone?

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Since Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of base.

Here, Laura has found the volume of a cylinder. which means, she will need to subtract volume from this shape in order to reveal a cone.

Then proceed to find the area of half the base multiplied by the height and then multiply this quantity,

 where r is length of half the base. She will take this quantity and subract it from her previous quantity.

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will branlest! ASAP


13 - 5x ≤ - 7

x is greater than or equal to negative 4

x is less than or equal to negative 4

x is greater than or equal to 4

x is less than or equal to 4Save

Answers

x is greater than or equal to 4

What is 7 over 9 subtract 1 over 3

Answers

the answer is 4/9 or 0.44444
so if i understand correctly this is fraction subtractions so in order to do it you have to have a common denominator and in order to do it you will change 1/3 to 3/9 and then subtract it from 7/9
7/9-1/3
7/9-3/9
4/3
i hope this helped 

The Ortiz family will travel round-trip from Indianapolis to Denver this summer. The driving distance between the two cities is 1,058 miles. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. They usually spend about $2.89 per gallon.

Answers

The gas will cost $1,528.82.

Help please

Match each point with one of the following rational number:

A=-5/16,B=-9/16,C=-0.7,D=-0.4

A=-0.4,B=-0.7,C=-5/16,D=9/16

A=9/16,B=-5/16,C=-0.4,D=-0.7

A=-0.7,B=-9/16,C=-0.4,D=-5/16

Answers

Because none of the points on the number line are above 0, we know that the points will be negative.
This eliminates the second and third choices, as they contain positive numbers.
The first point, A, is a number less than -0.5 or -1/2
The first choice matches A with -5/16, which is less than -0.5 or -1/2
Therefore, the fourth choice must be the correct answer.

how many cups of sugar does it take to get to the moon??

Answers

over 5 million


i guess
What the  h e c k  is this supposed to even mean.

What is the coefficient of the variable in the expression 6 − 4x − 8 + 2?

Answers

the coefficient is the number multiplied by the variable (letter)....so ur coefficient is - 4

Answer:

The coefficient is -4. Hope this helps!!

Step-by-step explanation:

what is the volume of toothpaste in a tube ?

Answers

It depends on the size of tube. Look at the label, it should list the volume.

the segments below shown below could form a triangle


AC= 8
CB=7
BA=15

True or false?

Answers

The answer to this question is true.

Answer:

The answer is FALSE

Step-by-step explanation:

APEX

the sum of 2 numbers is 42 and the difference is 20

Answers

31 + 11 = 42

31 - 11 = 20

your answer is 31 11

hope this helps :D

Set up an equation for the perimeter, P, of the rectangle below. Solve for L.

Answers

2l+2w=p, however there is not enough information for me to solve for P, please provide more info.

A=2πr^2+2πrh Solve for π

Answers

A=2πr^2+2πrh
A=π(2r^2+2rh)
π = A / (2r^2+2rh)

A rabbit can run short distances at a rate of 35miles per hour.a fox can run short distances at a rate of 21 miles per half hour.which animal is faster,and by how much?

Answers

The fox is faster. This means that while the rabbit can run at a rate of 35 miles per hour, the fox runs 42 miles per hour. Therefore, the fox runs 7 more miles per hour than the rabbit.
Since the fox's rate is based on half an hour and the rabbit's rate is based on a whole hour, you would need to create an equation that is spanned on the same amount of time. 

To do this you would, simply, multiply the fox's rate by 2.

21 x 2 = 42
[tex] \frac{1}{2} [/tex] x 2 = 1

42 mi/1 h

A fox can run 7 miles per hour faster than a rabbit can. 

I hope this helps!
 

what is the answer to ( n+8) + (n-12)

Answers

(n + 8) + (n - 12)

Get rid of the parenthesis.

n + 8 + n - 12

Note : the (12) turns into a negative because a negative times a positive is always a negative :)

Combine like terms.

(n + n) + (8 - 12)

Simplify.

2n - 4

~Hope I helped!~


n+8+n+−12

Combine Like Terms:
n+8+n+−12

(n+n)+(8+−12)

2n+−4

Your final answer would be 2n−4


Mary Sue bought two dolls priced at 7.40 each. The tax was 0.98.She paid the clerk with a 20.00 bill. How much change should she get back

Answers

7.40 x 2 + .98= 15.78 if she pays with $20 than her change will be $4.22
Hope this helps :]

<5 and <6 are vertical angles and m<5=33° find m<6

Answers

Answer:  m∡6 = 33°.
________________________________________________
Since all vertical angles are congruent and have EQUAL measurements, 

and ∡5 and ∡6 are vertical angles; 

then, m∡5 = m∡6 .
________________________________________________
So;  given m∡5 = 33° ;  m∡6 = 33° .
________________________________________________

The measure of the angle 6 is 33°.

Given that, ∠5 and ∠6 are vertical angles and m∠5=33°.

What are vertical angles?

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

As we know, the vertical angles are congruent.

So, ∠5 = ∠6

⇒ ∠6 = 33°

Therefore, the measure of the angle 6 is 33°.

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https://brainly.com/question/10668231.

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A classmate said that ab is parallel to dc based on the diagram below. Explain your classmate's error.

Answers

For AB to be parallel to DC based on the diagram, angle AWZ must be equal to angle WZY.

But in the diagram shown, angle AWZ is equal to angle XYC and we are not told that WZ is parallel to XY.

Therefore his error is that he misapplied the alternate angle property.

Sherman hopes to get at least a 90 average on his science test. He has one more test before the end of the year. His past test scores are 79, 94, 91, and 92.Write and solve an inequality that represents the situation. What is the lowest score Sherman can get on his final test and reach his? show your work

Answers

(79 + 94 + 91 + 92 + x) / 5 > = 90
(356 + x) / 5 > = 90
356 + x > = 90 * 5
356 + x > = 450
x > = 450 - 356
x > = 94 <=== Sherman can get the lowest score at 94

Answer:

94 points

Step-by-step explanation:

The mean is defined by the sum of the numbers divided by how many numbers there are, so:

[tex]\frac{(79+94+91+92+x)}{5}>=90\\\\\frac{(356+x)}{5}>=90[/tex]

Multiplying both sides by 5

[tex](356+x)>=450[/tex]

Subtracting 356 on both sides:

[tex]x>=94[/tex]

So Sherman has to obtain at least 94 points on his final test in order to get an average of at least 90.

A child’s ticket for a sightseeing cruise of the San Juan Islands costs $5 less than an adult’s ticket. If a represents the cost of an adult’s ticket, which expression represents the cost of a child’s ticket?

Answers

If a represents an adult's ticket, then a-5 would represent a child's ticket

Easy Exponents! Please Help!

Answers

1/16 x 1/49 = 1/784

1/28^2 = 1/784

Your answer is B

hope this helps
The answer is b hopefully it is right

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?

Answers

the width is 11m and the length is 23m

evaluate the expression when a=6 . a-24 ( a:-30 , b:-18 , c:18 , d:22 )

Answers

a=6, then a-24 is b:-18

I have no clue what to do here:
Shanice's car is traveling 10 miles per hour slower than twice the speed of Brandon's car. She covers 93 miles in 1 hour 30 minutes. How fast is Brandon driving?

Answers

hanice's rate: 93 / 1.5 = 62 miles per hour

she is 10 miles slower than twice the speed of Brandon

62 +10 = 72

72/2 = 36

 Brandon is driving 36 miles per hour

Harry has 3 bamboo poles of different lengths. The total combined length of the three poles when placed end to end is 47 1/2 inches long. Pole B is 1 3/4 times as long as pole A and pole C is 2 1/2 inches longer than pole A. Find the length of Pole C

Answers

Final answer:

To find the length of pole C, we can set up a system of equations using the given information. Solving the system of equations will give us the values of the lengths of poles A, B, and C. The length of pole C is found to be 14.5 inches.

Explanation:

We can solve this problem by setting up a system of equations. Let's represent the length of pole A as 'a', the length of pole B as 'b', and the length of pole C as 'c'. We are given that pole B is 1 3/4 times as long as pole A, so we can write the equation b = 1.75a. We are also given that pole C is 2 1/2 inches longer than pole A, so we can write the equation c = a + 2.5.



Since the total combined length of the three poles is 47 1/2 inches long, we can write the equation a + b + c = 47.5. Now we have a system of three equations:



b = 1.75ac = a + 2.5a + b + c = 47.5



We can solve this system of equations to find the length of pole C. Substituting equation 1 and equation 2 into equation 3, we get:



a + 1.75a + (a + 2.5) = 47.5



Combining like terms, we get:



3.75a + 2.5 = 47.5



Subtracting 2.5 from both sides, we get:



3.75a = 45



Dividing both sides by 3.75, we get:



a = 12



Now that we know the length of pole A, we can substitute it into equation 1 to find the length of pole B:



b = 1.75 * 12 = 21



Finally, we can substitute the length of pole A and pole B into equation 2 to find the length of pole C:



c = 12 + 2.5 = 14.5



Therefore, the length of pole C is 14.5 inches.

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350$ at 3% for 10 years. What Is the
Interest earned?

Answers

If you are using continuous compound interest, the formula is A = Pe^RT where A= amount, P= principal value, R = the rate, and t = time. E is an actual number that is kinda hard to explain but it's just a button on the calculator. 

In this case the equation would be A = 350e^(0.03)(10). This gives you approximately 472.4506 or approximately $472.45 since it's money and you round to the nearest penny. 
the answer is $472.45
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