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

Evaluate the expression.
{[(20 – 32) = (-6)}? – 11} = (–7)
What is the value of the expression?
Enter your answer in the box.

Answers

{ [(20-32)÷(-6)]²-11 }÷(-7)= { [-12÷(-6)]²-11}÷(-7)= { [2]²-11}÷(-7)= { 4-11}÷(-7)= -7÷(-7)= 1

please mark this answer as brainlist

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[(–12) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[2]² – 11} ÷ (–7)

⇒ {4 – 11} ÷ (–7)

⇒ (– 7) ÷ (–7)

⇒ 1

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

More about the value of the expression link is given below.

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Help me please!!!!!!!!

Answers

Answer:

10 is answer if your question.

Step-by-step explanation:

mark me as a brainlist plz.

Question 10 of 10
Simplify 43.45
A. 168
B. 16.15
C. 48
O O
D. 415
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

4^3 x 4^5 =4^8

You add the exponents together because they have the same base and it's multiplication sum.

hey can anyone help and explain this to me ​

Answers

hjdjenenenwnwnwmemkwksksjsj

The recommended calcium intake for men and women is about 1.2 grams per day.
A glass of milk contains about 0.27 gram of calcium. If a man drinks 3 glasses of milk,
how much additional calcium does he need from other food sources?

Answers

Answer:

0.39

Step-by-step explanation:

0.27 TIMES 3 is 0.60+0.21=0.81 then 1.2-0.81=0.39

if you dont give me brainliest i will find and eat your soul from a milk jar :D

please help me with this sum​

Answers

Answer:

2880

1950

3960

2240

920

5220

4320

3760

6650

1080

32980 is the sum of all combined

Please allow me to know if this helped you by clicking thank you, rating or brainly!

Miss Hawaii

Answer:

1. 2880

2. 1950

3. 3960

4. 2240

5. 920

6. 5220

7. 5760

8. 3760

9. 6650

10. 1080

I NEED HELP ASAP!!! (NO LINKS)
FULL EXPLANATION WILL GET BRAINLIEST!!!

#33

Answers

Answer:

35

Step-by-step explanation:

Using the definition of n[tex]C_{r}[/tex]

with n = 7 and r = 3

7[tex]C_{3}[/tex]

= [tex]\frac{7!}{(7-3)!3!}[/tex]

= [tex]\frac{7!}{4!(3!)}[/tex]

= [tex]\frac{7(6)(5)(4)(3)(2)(1)}{4(3)(2)(1)3(2)(1)\\}[/tex] ← cancel 4(3)(2)(1) on numerator/denominator

= [tex]\frac{7(6))(5)}{3)2)(1)}[/tex]

= [tex]\frac{210}{6}[/tex]

= 35

hi please help me here thank you very much.

ill give brainliest if able to.

Answers

Answer:

-1= -1/1

1 to 1 = 1/1

2:3 = 2/3

3 to 2 = 3/2

-2 = -2/1

Step-by-step explanation:

8x − 7y = –5
–x + 4y = –15

Answers

Answer:

Answer is invalid. You cannot solve it.

Step-by-step explanation:

Answer:

y=4.8 X=34.2

Step-by-step explanation:

A satellite flies 87100 miles in 16.75 hours, How long would it take to fly 104520
miles?

Answers

Answer:

22.41

Step-by-step explanation:

Set up a proportion where x is the time to fly 174798 miles

Cross multiply and solve for x:

118404x = 2653433.64

x = 22.41

So, it would take 22.41 hours to fly 174798 miles

Players
Amount
Paid

The table above represents the number of people in a group who played laser tag and the group's total cost to play. Which of the
following represents the rate of change relative to this situation?

Answers

Answer:

C. 4.00 per person

Step-by-step explanation:

I say its 4.00 per person because in each row you mutiply the players and 4.00 you get the other side of the row. Ex 11 players multiplied by 4 dollars per person equals 44.00 dollars in total which the graph shows.

translate the 3 triangles below 4 units right and 3 units down

Answers

Answer:

If we translated the triangle 4 units right and 3 units down, then our new points would be J' (3,0)  K' (3,-2)  L' (0,-2).  Hope this helped ..

Step-by-step explanation:

The function h(x) is a transformation of the square root parent function, f(x)= sqrt x . What function is h(x) ?

Answers

Answer:

You can actually change it however you want I just happen to add two underneath the radical which shifted the graph to the left and I subtracted five on the outside of the radical which shifted the graph down five

The function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

f(x) = √x

f(x) is a parent function.

a parent function is the core representation of a function type without manipulations such as translation and dilation.

We have to find the function h(x) which is obtained by transforming the function f(x)

From the given graph, the function f(x) is moved up about 2 units and the shifted left of 5 units

h(x) =√x+2 - 5

Hence, the function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5

To learn more on Graph click:

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Which is 3,200 divided by 40?

A.
6

B.
8

C.
60

D.
80

Answers

Answer:

80

Step-by-step explanation:

40 x 80 = 3200

The solution of the expression is, 80

We have to give that,

3200 divided by 40.

Now, Divide the numbers as,

⇒ 3200 ÷ 40

⇒ 3200 / 40

⇒ 320/4

⇒ 80

So, The solution after dividing is, 80

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Write four hundred thirty-five thousand, two hundred two in standard form.

Answers

Answer:

four hundred thirty-five thousand : 435,000

two hundred two : 202

Can someone help me pls.....

Answers

Answer:

the first one is equivalent and the second one is not equivalent

Step-by-step explanation:

In the first one do the distributive property first by distributing the the -2.

[tex]3x - 4.6x - 5 = 1.6x - 5[/tex]

collect like terms on the left side

[tex] - 1.6x - 5 = - 1.6x - 5[/tex]

they are equivalent.

The second equation do the distributive property first by multiplying by -3.

[tex]5 + 4.8x + 6.3 = 4.8x - 1.3[/tex]

collect like terms on the left.

[tex]4.8x + 11.3 = 4.8x - 1.3[/tex]

not equivalent

x2−5x+8 if x=3 plz help

Answers

Answer:

Step-by-step explanation:

if its x to the second power:

(3)^2-5(3)+8= 9-15+8=17-15=2

if it is 2x

2(3)-5(3)+8=6-15+8 =-1

A tennis player hits a ball hard and 0.4 s later hears the echo sound from a wall. The speed of sound in air is 330 ms. How
?far away is the player from the wall

Answers

The distance traveled by the echo is used to determine the player's distance from the wall

The player's distance from the wall is 66 m.

Reason:

Known parameter;

The time after which the tennis player hears the echo of the ball, t = 0.4 s

The speed of sound in air, v = 330 m/s

The distance of the player from the wall = Required

Solution:

Let d, represent the distance of the player from the wall

An echo is the reflection the wave of the sound of hitting the ball that

travels to the wall and back

The distance traveled by the sound to the wall, d, and back, (d again), is 2·d

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Therefore;

[tex]The \ speed \ of \ the \ sound,\ v = \dfrac{2 \cdot d}{t}[/tex]

Therefore;

[tex]330 = \dfrac{2 \cdot d}{0.4}[/tex]

330 × 0.4 = 2·d

[tex]d = \dfrac{330 \times 0.4}{2} = 66[/tex]

The distance of the player from the wall, d = 66 m

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You need $3,000 to buy a new stereo for your car. If you have $1,200 to invest at
6% compounded annually, how long will you have to wait to buy the stereo?

Answers

Answer:

15 years and 8 months

Step-by-step explanation:

I used the formula for compound interest as shown below and solved for the unknown, time.

Since our interest is compounded annually (So once a year) our m value is 1.

What is the sum of the 10th square number and the 2nd square number?

Answers

Answer:

104

Step-by-step explanation:

10th square number is 100, 2nd square number is 4. 100+4=104

Steven uses a
caliper that has an absolute error of 0.02 millimeters. An object's width is measured
using the caliper, which records a width of 14.5 millimeters. What equation would represent the situation?

A. |x-0.02|=14.5
B. |x-14.5|=0.02
C. |0.02-x|=14.5
D. |14.5-0.02|=x

Answers

The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02

The measurement error = 0.02 millimeters The measured width of caliper = 14.5 millimeters

If the actual width of the caliper is represented as x

The measurement error is an absolute value which can be calculated thus :

|Actual value - measured value| = absolute error

|x - 14.5| = 0.02

Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02

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Evaluate the expression: 5 + 3 × (5 - 2x2)

32
72
36
16

Answers

Answer:

5+3*(5-2*2)

5+3*(5-4)

5+3*1

5+3

=8

Step-by-step explanation: i think

How many tenths are there in ⅘

Answers

Answer:

8

Step-by-step explanation:

4/5 = ?/10

4/5 * (2/2) = ?/10

8/10 = ?/10

Answer:

8

Step-by-step explanation:

multiply the denominator and numerator, you get 8/10

Plz can anyone slove 3 & 4 questions plzz ​

Answers

Answer:

For question 3 its definitely 5^15 and I searched 4 so I thinks its 71 or 161? sorry I don't know angles but 3 is correct

Answer:

[tex] {5}^{4 + 8 + 3} = {5}^{15} \\ \\ 90 - 19 = 71[/tex]

find the value of y. 7y + y - 2y =18​

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

y=3

Step-by-step explanation:

if you are to put this on a graph the would be Linear

The claim is that weights (grams) of quarters made after 1964 have a mean equal to 5.670 g as required by mint specifications. The sample size is n = 39 and the test
statistic is t= -3.276. Use technology to find the P-value. Based on the result what is the final conclusion? Use a significance level of 0.01.
State the null and alternative hypotheses
Hop
H.
(Type integers or decimals. Do not round)

Answers

Testing the hypothesis, we have that:

The null hypothesis is [tex]H_0: \mu = 5.67[/tex]The alternative hypothesis is: [tex]H_1: \mu \neq 5.67[/tex]The p-value of the test is of 0.002252.The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.

At the null hypothesis, we test if the mean is of 5.670g, that is:

[tex]H_0: \mu = 5.67[/tex]

At the alternative hypothesis, we test if the mean is different of 5.670g, that is:

[tex]H_1: \mu \neq 5.67[/tex]

The test statistic is t = -3.276, with the number of degrees of freedom given by:

[tex]df = n - 1 = 39 - 1 = 38[/tex]

The p-value is found using a t-distribution calculator, using a two-tailed test(as the alternative hypothesis is that the mean is different from the value), with t = -3.276 and 38 df. This p-value is of 0.002252.

The p-value is 0.002252 < 0.01, which means that the final conclusion is that the mean weight of quarts made after 1960 is different than 5.67g.

A similar problem is given at https://brainly.com/question/24146681

A pipe is leaking at 1.5 cups per day. About how many gallons per week is the pipe leaking? (Hint: 1 gallon=16 cups)

Answers

Answer:

21/32 gal

Step-by-step explanation:

1 gallon equals 16 cups, so we first need to convert the rate from cups to gallons

1.5cup/1 x 1/16 gal

can be simplified to 3/32 gal

so we now multiply this rate by 7 for a week

so in total it leaks

3/32 x 7/1 = 21/32

Solve the equation:
3x + 2 = 6x - 7

Answers

x = 3 my answer needs to be 20 characters

Answer:

x=3

Step-by-step explanation:

1) Subtract 3x from both sides

2 = 6x - 7 - 3x

2) Simplify 6x - 7 - 3x  to 3x - 7

2 = 3x - 7

3) Add 7 to both sides

2 + 7 = 3x

4) Simplify 2 + 7 to 9

9 = 3x

5) Divide both sides by 3

9/3 = x

6) Simplify 9/3 to 3

3 = x

7) Switch sides

x=3

Help me with this math question. Please no links.

Answers

I cant read it, the picture is blurry

i don’t understand this i’m confused.

Answers

1/256 would most likely be the answer
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