find the common ratio and the 12th term of the geometric sequence 64, 16, 4, ...​

Answers

Answer 1

Answer:

common ration = 1/4

12th term = 1/65536

Step-by-step explanation:

64

64*1/4 = 16

16 * 1/4 = 4

4* 1/4 = 1

1 * 1/4 = 1/4

1/4*1/4 = 1/16

1/16*1/4 = 1/64

etc

1/256

1/1024

1/4096

1/16384

12th term = 1/65536

Answer 2

Answer:

see explanation

Step-by-step explanation:

The common ratio r is calculated as

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{64}[/tex] = [tex]\frac{1}{4}[/tex]

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = [tex]\frac{1}{4}[/tex] , thus

[tex]a_{12}[/tex] = 64 × [tex](\frac{1}{4}) ^{11}[/tex] = 64 × [tex]\frac{1}{4194304}[/tex] = [tex]\frac{64}{4194304}[/tex] = [tex]\frac{1}{65536}[/tex]


Related Questions

i need help with this geometry please

Answers

Answer:

how may i helps

Step-by-step explanation:

when it says parallel
ALWAYS KEEP THE SLOPE THE SAME
so if it’s y=3x-4
keep the 3x
and change the -4
so you could say
y= 3x -3 or y= 3x +5
both work

between which two consecutive integers does the negative square root of 20 lie

Answers

You could do the negative square root of 16 and the negative square root of 25 to get -4 and -5. So this means the answer is negative square root of 20 is in between -4 and -5

real life example of linear pairs

Answers

Answer:

Two angles are said to be linear if they contains a common ray and the sum of the two angles is equal to 180 degrees. A ladder placed against a building is a real life example of a linear pair.

Step-by-step explaination

hope this helped ✨

Jason has three more than four times the amount of money that Jeff has. Together they have $72 How much does each person have? ​

Answers

Answer:

$58.20$13.80

Step-by-step explanation:

Let Jason's money be x and Jeff's money be y

x = 4y + 3x + y = 72

Substitute x in the second equation

4y + 3 + y = 725y = 69y= 69/5y = $13.80

Then

x = 4*13.8 + 3 = $58.2

What is the equation of a line that is parallel to y = 6x + 7 and passes through (0.9)?​

Answers

Answer:

y = 6x + 9

Step-by-step explanation:

Because the gradient is the same in parallel lines and the y intercept is different.

Estimate the square root of 17 to the nearest tenth.

Answers

Answer:

4.1

Step-by-step explanation: Step 1: Calculate. We calculate the square root of 17 to be: √17 = 4.12310562561766.

Step 2: Reduce. 4.12.

Step 3: Round. Round 4.12 so you only have one digit after the decimal point to get the answer: 4.1.

PLEASE HELP ASAP
Which angle is important using the SAS postulate?

Answers

2,3 I think I’m not sure

how can you solve quadratic equation in one variable using factoring method?

Answers

Take a quadratic equation in standard form:
If there exists a sum of two numbers that equal b, whose addends produce a product that equals c, you can rewrite the quadratic as a product of two binomials.

For example, take .
When thought through thoroughly, -5 has addends -2 and -3 that produce 6 when multiplied.
Thus, we can rewrite the quadratic as.

I hope this helps! You can ask for clarifications if needed. :)

The steps are;

look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant and the coefficient of x²Factor the common value from both brackets and get the required variable

Let us assume the quadratic equation x² - 2x + 1 = 0

To solve this by factoring;

Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²

For the given equation, the two values are -1 and -1

The quadratic equation becomes;

x² - 1x - 1x + 1 = 0

x² - x - x + 1 = 0

(x²-x)-1(x-1) = 0

Step  2: Factorize the common value from both brackets

x(x-1)-1(x-1) = 0

x-1 = 0 and x - 1 = 0

x = 1twice

The given steps are the ways you can solve quadratic equations in one variable using factoring method

​Learn more here: https://brainly.com/question/18388216

Solve the inequality.−2(x − 3) − 4 ≥ 3x − 5(x − 1)

Answers

Answer:

0>3 i hope it helps

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2(x−3)−4>3x−5(x−1)

Step 1: Simplify both sides of the inequality.

−2x+2>−2x+5

Step 2: Add 2x to both sides.

−2x+2+2x>−2x+5+2x

2>5

Step 3: Subtract 2 from both sides.

2−2>5−2

0>3

Can someone please help me with the B part? <3

Answers

Answer:

v = 13.5 m/s is the answer

mark me as brainliest if u found it helpful

Write the equation of each line in slope-intercept form. A line that passes through
(-4, 8) and (4, 6)

Answers

Answer:

[tex]y=-\frac{1}{4}x+7[/tex]

Step-by-step explanation:

Write in slope-intercept form,  y = m x + b .

Answer:

4y=x+20

Step-by-step explanation:

gradient

8-6/-4-4

= 1/4

y-6=1/4(x-4)

4y-24=x-4

4y=x+20

The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter I
of the rectangle.

Answers

So for the perimeter, there will be 2 of each side. 3(2)+6(2)= 18.
The perimeter is 18 feet.

Solve 3(4m - 6) = 12 and explain each step

Answers

distribute the 3 to 4m and 6. this makes 12m-18=12
now add 18 to both sides.
12m=30
now divide by 12
m=30/12

What is the slope and equation of a line parallel to the x-axis passing through (3,7)?

Answers

Answer:

We know that the equation is y=7 because it passes through point (3,7), and 7 is the y-coordinate of that point (remember we don't really care about the 3 because since the line is parallel to the x-axis, it will pass through all values of x, so the 3 is irrevalent).

Step-by-step explanation:

The equation of the line passing through the point (3,7) and parallel to the x-axis is y =7.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

We know that the equation is y=7 because it passes through the point (3,7), and 7 is the y-coordinate of that point (remember we don't really care about the 3 because since the line is parallel to the x-axis, it will pass through all values of x, so the 3 is prevalent.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

tomika ran 84 miles in 4 weeks. She ran 7 days each week. If she ran the same number of miles each day, how many miles did she run each day?

Answers

Three miles a day should be the correct answer

Write the equation of the line through the points (-3, 9) and (4, 2) in POINT-SLOPE FORM

Answers

Answer:

y-9=-1(x+3)

Step-by-step explanation:

The formula for point slope is y2-y1=m(x2-x1). So, we can use the values of the given points to solve the equation for m, or, the slope. We get an equation with the result of 2-9=m(4+3), which gives us the slope as -1. Now, substitute your xy values back in, to get the equation

What is x please help quick

Answers

Answer:

100

Step-by-step explanation:

180 - 136 = 44 (The unknown angle)

180 - 44 -36 = 100 = x

What is the relationship between the two shapes?
A. They are similar and congruent.
B. They are similar but not congruent.
C. They are congruent but not similar.
D. They are neither congruent nor similar.

Answers

i’d help you but i don’t know the two shapes !:( post a pic
i need the pic of the shapes

Kyle has $200 to spend on a camera and a camera case. If he wants to spend three times as much on his camera as on the case, what is the most he should spend on the camera case?

Answers

Answer:

$50

Step-by-step explanation:

I took $200 divided by 4 (he wants to spend 3 times as much) so he would spend $50 on case and $150 on camera

Line AB and line CD intersect at point E. If angle AEC= 5x and angle BED= x +28, font the value of x. (Number two)

Answers

Go to QuestionCove for better answers, it's too hard for me TwT

Answer:

2. x=7

3. x=11

Step-by-step explanation:

1 mile divided by 2 laps =

Answers

The answer is 800 meters
1 mile is 1600 meters or four laps
So if you divide 1600 by 2 you get 800 meters

There are 4 laps in one mile, therefore, "1 mile divided by 2 laps" = 2.

What is division?

Division is the process of dividing a number by a given number.

Given, the statement "1 mile divided by 2 laps".

The statement written in mathematical form is:

(1 mile)/2 laps

There are 4 laps in one mile, therefore, substitute 1 mile = 4 laps into the above equation:
(4 laps)/2 laps

= 2

Hence, "1 mile divided by 2 laps" = 2.

To learn more about division, click here:

https://brainly.com/question/10571790

#SPJ2

-1/4x + 6 = y; (2,4)

Answers

Answer:

The answer is y  =  4 x  −  4

Step-by-step explanation:

What is the angle relationship? Meaning, what is the angle for this?
I’ll give brainliest to whoever answers right! :)

Answers

Answer:

Easy. Alternate interior angle.

Step-by-step explanation:

Mia can purchase a 40-ounce jar of peanut butter for $5.20 or a 15-ounce jar for $2.70. How much does Mia save per ounce by buying the 40-ounce jar? Pleaseeee help hurry in time.

Answers

$5.20/40=0.13
$2.70/15=0.18
0.18-0.13=$0.05

A large toy weighs 5/8 pound. How many small toys
that each weigh 5/16 pound have a combined weight
equal to the weight of the large toy?

Answers

Answer is 2
Divide (5/8)/(5/16)
Which equals 2

I need help solving this

Answers

i think the correct one is D

Why the following triangles are congruent!

Answers

Answer:

They have equal ticks and angles. They are congruent because they are equal in all sides and angles.

Step-by-step explanation:

What is the vertex of the graph shown?

Answers

Answer:

(0,2)

Step-by-step explanation:

To find vertex all you have to do is look were the bend part of the line is on the x-axis or y-axis iin this case its on the y-axis

Brainiest would be noice

High Hopes^^

Barry-

Question 6 of 19
Which of the following numbers is closest to 6?
A. V38
B. 39
C. 35
D. 134
SUBMIT

Answers

35 is the most closest to 6

Use the vertical line test to determine whether or not the graph is a graph of a function.

Answers

Answer:

25. Not a function because when you use vertical line test, you came across two points at the same time.

26. This is a function because when you vertical line test, you don't come across two points at the same time.

Step-by-step explanation:

Other Questions
How did the roman government influnce early christian teachings? Which statement best completes the diagram?Colonists bringdiseases like smallpoxto North America.?Colonists introducesteel weapons and gunsto American Indians.American Indianpeoples suffer greatly.O A. Colonists become leaders in the largest American IndiancommunitiesB. Colonists force American Indians to live and hunt in new places.O C. Colonists force American Indians into slavery on plantations.D. Colonists refuse to teach American Indians how to farm. According to the National Restaurant Association, restaurant operators should make certain that for their automatic dishwashers _____. the thermometer is in a place that is easy to read the dishwashing soap contains chlorine bleach the washing cycle is at least 45 minutes the water has been passed through a carbon filter The Majority of fossils are dated using relative dating techniques. A. True B. False Which of the following describes James Oglethorpe.-wealthy-philanthropist-served as head of trustees-all of the above Mi equipo y yo________ jugar en el estadio. (querer) Whats Finns significance to the story kingdom keepers Which expression has the same value as the one below?50 + (-17) PLZ HELP!!!!! DUE TODAY! 50 POINTS & BRAINLIEST FOR SOMEONE WHO CAN EXPLAIN TO ME WHAT I DID WRONG!!!!!!p.s. thank you in advance! "The type of wall decoration illustrated below would most commonly be found in aHINT: From what culture would you find this?stupamosquecathedraltemple What is the equation for the line in slope-intercept form?Enter your answer in the box. Robert wants to buy a new coat for $117. He was offered a discount on this price of 25%. He then has to pay 8.75% sales tax on the discounted price. Which expression represents the best strategy for estimating the final cost of the coat? 6/x + 8/x+5 = 3What is x Identify each example as having either a directly stated main idea or an implied main idea. The author directly reveals the main idea to readers. Readers need to infer the main idea by using clues from the text and their own knowledge. The reader can clearly determine that every detail supports the main idea. The reader must examine every supporting detail to verify if it supports a common idea. Artistic techniques today are based on some prehistoric methods.TrueFalse What is the topic and main idea of the passage Im so confused please explain and help! The most explanation with the reasonable answer gets BRAINLIEST more math. mann I hate this A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.087 1 0.344 2 0.415 3 0.154 trevor reads 5 pages of a novel in 18 minutes how long would it take him to read 125 pages