what is the sum of the infinite geometric sequence 2,-1,1/2,1/4,...?
with solution

Answers

Answer 1

The common ratio with the range  

1<r< 1

the formula is  

S=a11−r

We will use this formula because,  

r=12

Sum  

S=a11−r=21−12=4

God bless....I hope the explanation is useful...


Related Questions

Can somebody help me with social studies since nobody will?

Answers

Answer:

Yes! Sure I will, just follow me and I will follow you!

Then I get the notifications of your doubts.

Step-by-step explanation:

I love helping

How many 1/3 cup serving are there in 10/3 cups of dried beans

Answers

sense they gave the same denominator, just multiply, so 1/3 x 10/3 would just be 10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The number of 1/3 cups of servings in 10/3 cups of dried beans is 10 cups of servings.

i.e

= 10/3 ÷ 1/3

= 10/3 x 3/1

=  10/3 x 3

= 3

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have

Number of dried beans = 10/3 cups

The number of 1/3 cup servings can be found by dividing the total number of cups of dried beans by 1/3.

The number of 1/3 cup servings:

= Number of dried beans cups ÷ 1/3

= 10/3 ÷ 1/3

= 10/3 x 3/1

= 10 cups servings

Thus,

The number of 1/3 cups of servings in 10/3 cups of dried beans is 10 cups of servings.

Learn more about fractions here:

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Write the equation of a line that
goes through the points (4,4) and
(-1,9).

Answers

Answer:

y+2 = (-1/2)(x-3)

Step-by-step explanation:

A loan is payed off in 15 years with a total of 250,000. It had 4% interest

Answers

Answer:

5.2%po joke Lang Hahahahahahah

Answer:

$137,339.88

Step-by-step explanation:

Use the compound interest formula and substitute the values given:

$250,000=P(1+0.0412)12(15)

Simplify using order of operations:

$250,000=P(301/300)180

Solve for P:

P=$250,000(301/300)180≈$137,339.88

If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when he was first inaugurated. How old was President G.H.W. Bush when he was inaugurated?

Answers

Answer:

64Step-by-step explanation:32+14=46

Step-by-step explanation:

lf you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when ...

1 answer

Age of President G.H.W. Bush  is 37.

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Age of President Bush = 54,

So, Age of President Clinton

=(54/2) + 14

=27+14

=41

Now, Age of President G.H.W. Bush

=46/2+14

=23+14

=37

Hence, the age of President G.H.W. Bush  is 37.

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si a+b = 40; ab= 40 calcula a2 + b2

Answers

a² + b² = 1,520

Step-by-step explanation:

a + b = 40ab = 40

a² + b²

= (a + b)² - 2ab

= 40² - 2(40)

= 1,600 - 80

= 1,520

which equation does not belong with the other three A. y=-5x-1 B.2x-y=8 C. y=x+4 D. y= -3x+13

Answers

Answer:B

Step-by-step explanation:

All other equations solve for Y

Use the given figure (triangular)to find the length of x. x+14 28 ​

Answers

Step-by-step explanation:

Answer. Finding the missing side of a right triangle is a pretty simple matter if two sides are known. One of the more famous mathematical formulas is a2+b2=c2 a 2 + b 2 = c 2 , which is known as the Pythagorean Theorem.

8% of what number is 1.2

Answers

Answer; 15.

Mark me brainiest if helped!

Choose the number sentence that illustrates the distributive property of multiplication over additional

Answers

Answer: A

Step-by-step explanation:

It distributed into 5x 4 and 5 x 9. Lemme get brainliest

Answer:

A

Step-by-step explanation:

IM MARKING BRAINLEST IF U HELP PLEASE!!!

Answers

Angle A = 133 degrees

47 degrees and angle A are supplementary angles/a linear pair, which means that they add up to 180.

180 - 47 = 133

Angle B = 15 degrees

The sum of the interior angles in a triangle is 180.

a + 32 + b = 180

133 + 32 + b = 180

b = 15

Angle D = 58 degrees

32 degrees and angle D are complementary angles, which means that they add up to 90.

90 - 32 = 58

Angle C = 75 degrees

The sum of the interior angles in a triangle is 180.

c + d + 47 = 180

c + 58 + 47 = 180

c = 75

Hope this helps!! :)

Hey ! Can anyone help me with this question please . Thank you !

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Corresponding angles in  parallel lines are equal. (m// n)

Therefore,

[tex]4x-13 =x+8\\4x-x=13+8\\3x=21\\\frac{3x}{3} =\frac{21}{3} \\x=7[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

The answer is x=7

4x-13=x+8
+13. +13


4x=x+21
-x. -x

3x=21

Then divide both numbers by three and the answer is x=7

Hope this helps:)

solve pls brainliest

Answers

Answer:

a) 5

b) 9

Step-by-step explanation:

The lines by the side decide absolute value, meaning distance from zero. for question A, simply add the integers to get -5. With the absolute value lines surrounding the question, you must make the answer 5 instead of -5 to show the distance from zero. In easier words, absolute value is just the positive number of an integer. For question B, the absolute value is surrounding just the -7, making it a positive 7. So, you simply just add 7 + 2 for question B, getting 9.

(5 - 2i) + (-4 + 81)
O A. 5i
B. 7i
O c. 1-6
D. 1 + 6

Answers

Answer:

82 - 2i

Step-by-step explanation:

(5 - 2i) + (-4 + 81)

5 - 2i + 77

= 82 - 2i

1 + 6i

we open the brackets to give us

5 - 2i - 4 + 8i

collecting like terms, we have,

-2i + 8i + 5 - 4

6i + 1

or

1 + 6i

Mrs. Sampson bought 8
packages of clay for a total of $32
for an upcoming art project. At
this rate, how much would 14
packages cost?

Answers

Answer:

$56

Step-by-step explanation:

cost of 8 packages of clay = $ 32

cost of 1 package of clay = 32 / 8 = $4

cost of 14 packages = 14*4 = $ 56

Guys please help me i really need this right answer

Answers

Answer:

Step 2: Commutative Property

Step 3: Associative Property

Step-by-step explanation:

According to the Commutative Property of Addition: Two real numbers can be added in either order.

a + b = b + a

Therefore, she used the Commutative Property in Step 2.

In Step 3, she used the Associative Property, in which the grouping of the addends does not change the sum.

Zayn puts garland around a square window. He uses 888 meters of garland.
What is the height of the window?

Answers

Answer:

222 meters

Step-by-step explanation:

Zayn puts a total of 888 meters of garland around a square window.

Because a square has all equal sides, divide the amount of garland he used by 4 to find how much is used per side:

888 ÷ 4 = 222

So, the height of the window is 222 meters.

Can someone help with this question fast ? <3

Answers

Answer:

x=7

Step-by-step explanation:

x+x+3+2x-1=30

4x+2=30

4x=30-2

=28

x=28÷4

=7

Maureen paid 198.75 for a stereo system, plus a sales tax of 15.90. approximately what is the sales tax percent?
How to solve??

Answers

Answer:

The answer to your question is 13.5%

Step-by-step explanation:

HELP THIS IS DUE IN A FEW HOURS!!!
Emery borrowed money from her brother to buy a new phone and is paying off a fixed amount each week.

After 2 weeks, she will owe $456, and after 5 weeks, she will owe $228.
Create an equation in point-slope form to represent this situation.

Answers

Step-by-step explanation:

you can see the full answer in Quizlet

Write a problem based on the given information.
7.) c = cost per pound of plain coffee beans
C + 3 = cost per pound of flavored coffee
beans 2c + (c + 3) = 21

Answers

4c+ 3 = the number of coins so therefore that is the equation you need to use


Help please 6th grade math

Answers

Answer:

You would just plot it on the 1

the absolute value of positive 1=1

15 Which line passes through the point (1.-4)? A x + y = 5 B.X + y = 5 c.xy=5 D.x-y=.5​

Answers

Answer:

Step-by-step explanation:

A x + y = 5  1 + -4 = -3  Nope

B.X + y = 5  1 + -4 = -3  Nope  same as A unless X is somehow not equal to x,

C. xy = 5      1(-4) = -4    Nope and does not even qualify as a line.

D. x - y = .5​  1 - (-4) = 5 Nope unless you have a typo adding an unwanted decimal point

27. Representative Sample? You want to determine the average number of classes skipped by
first-year students at a small college during a particular semester. State whether each of the
following samples is likely to be representative and explain why or why not.
Sample 1: 100 first-year students who belong to a sorority or fraternity
Sample 2: 100 first-year students who play a varsity sport
Sample 3: The first 100 first-year students whom you meet at the student union
Sample 4: 100 first-year students taking honors humanities,, courses

Answers

A sample is said to be representative if the selection made form have population is free of bias. Evaluating the selection criteria listed above :

Sample 1 will not likely be representative as students who do not belong to either a sorority or fraternity are automatically exempted from the selection.

Sample 2 will not likely be representative because not all students play a varsity sport, hence students who do not play a varsity sport won't have a chance of being selected.

Sample 3 is a convenience sampling technique, they often exhibit sampling bias hence, sample 3 is not representative of the population.

Sample 4 will not likely be representative as students taking other courses aside humanities have no chance of being selected.

Therefore, all the sampling methods are not representative of the population of first year student.

Learn more : https://brainly.com/question/18405415

Try It!
Suppose that Katie finished the race 0.13 second before Amy. What was Katie's
time in the race? Use an estimate to check that your answer is reasonable.

Answers

wouldnt you need to know amys time??

A group of 20 friends plays a card
game. The game can be played with
2 or more teams of equal size. Each
team must have at least 2 members.
List the possible numbers and sizes
of teams.

Answers

There can be two groups of 10 players on each team, or four groups of 5 on each team.

16 teams of hockey are playing. each team plays two matches against another team. how many matches are played

Answers

Answer:

240

Step-by-step explanation:

HELP PLSSSS!!! I will mark you as brainlyist

Answers

X = 15°

Given that the angle with m < 165° and m< x° are supplementary angles whose sum add up to 180°,

We can add their sum by establishing the following formula:

m < 165° + x° = 180°
Subtract m< 165° from both sides

m < 165° — m < 165° + x° = 180° — m < 165°

x° = 180° — m < 165°

x° = 15°

Therefore, the value of x = 15 °

what is the volume of the following figure. all of the cubes are visible​

Answers

Answer:

Is there an image you can post? I dont see the figure.

Find an angle between 0 and 2 that is coterminal with the given angle.

Answers

Answer:

40degres

Step-by-step explanation:

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