What is the sum of the geometric series below?

3+1+1/3+1/9+1/27

Answers

Answer 1

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

What Is The Sum Of The Geometric Series Below?3+1+1/3+1/9+1/27
Answer 2

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]


Related Questions

(x+3)*(x+4)*(x+5)*(x+6)+1

Answers

there is it hope u have a good day

ANSWER:

evelins room has an area of 45 squar feet. the length of her room is 5. what is the perimeter of her room?

Answers

Answer:

28 feet

Step-by-step explanation:

Since the area is 45 and length is 5.In order to find the width we divide the area by the side given

45 ÷ 5 = 9 is the width

Perimeter is the sum of all the side of a figure.

9 + 9 + 5 + 5

= 28

I hope this helps :)

(2/7)power 7 divided (2/7)power 5

Answers

Answer:

4/49

Step-by-step explanation:

7-5 = 2

2/7*2/7 = 4/49

Answer:

4/49

Step-by-step explanation:

[tex] \frac{ (\frac{2}{7})^{7} }{( \frac{2}{7} )^{5} } = ({ \frac{2}{7} )}^{7 - 5} \\ = ( \frac{2}{7})^{2} \\ = \frac{4}{49} [/tex]

What is the volume of this figure?

Answers

Answer:

44

Step-by-step explanation:

Answer:

4 x 4 x 4 =64

4 x 4 x 8 =128

4 x 4 x 12 =192

64+128+192=384³

hope it'll be helping

Find the 6th term of each geometric sequence. 9, 45, 225, 1125

Answers

Answer:

28125    

Step-by-step explanation:

Refer to the image below.

Y equals 1/3 X +5 through (two, one)

Answers

Answer:

No solution

Step-by-step explanation:

1 = 1/3(2) + 5

1 = 17/3

Therefore no solution as 1 is not equal to 17/3

20
19) Mindy and Cindy bought 64 grapes.
Cindy ate 3/8 of the grapes and Mindy ate
the rest. How many grapes did Mindy eat?

Answers

Answer:

40 grapes

Easy explanation:

64 ÷ 8= 8• 1/8 of 64 grapes is 8.8 × 3= 24• 3/8 of 64 grapes is 24. Now we know that Cindy ate 24 grapes. With that, we can solve how many grapes Mindy ate. By subtracting 24 from 64.64 - 24= 40• Mindy ate 40 grapes.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Find the distance on the number line between 14.3 and 4.1.

Answers

[tex]\\ \sf\longmapsto 14.3-4.1[/tex]

[tex]\\ \sf\longmapsto \dfrac{143}{10}-\dfrac{41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{143-41}{10}[/tex]

[tex]\\ \sf\longmapsto \dfrac{102}{10}[/tex]

[tex]\\ \sf\longmapsto 10.2[/tex]

the sum of two numbers is 20,one number is 4 less than the other.find the number

Answers

x-4+x=20


2x=20+4
2x=24
X=12
Number is 12 because 12-4 is 8 and 8+12 is 20
I’ve attached my work
Hope this helps!

2.
Consider the sequence {1,22,43,64,85,…}. Find n if an = 2332. Show all steps including the formulas used to calculate your answer.

Answers

Answer:

n = 112

Step-by-step explanation:

an = a1 + (n - 1)*d

d = 43 - 22 = 21    Try another one to confirm

d = 85 - 64 = 21

d = 21                    So we have an arithmetic sequence.

a1 = 1

an = 2332

 

2332 = 1 + (n - 1)*21          Subtract 1 from both sides

2332 - 1 = (n - 1)*21

2331 = (n - 1)*21                Divide by 21

2331/21 = n - 1                

111 = n - 1                          Add 1 to both sides

112 = n

Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?

pls explain, thanks!!!!​

Answers

C.P. = $95000

S.P. = $280000

a. Profit

= S.P. - C.P.

= $280000 - $95000

= $185000

b. Let the profit% of C.P. be x.

(x/100) × $95000 = $185000

=> x/100 = $185000/$95000

=> x/100 = 37/19

=> x = (37/19) × 100

=> x = 3700/19

=> x = 194 14/19

So, profit percent of buying price is 194 14/19%.

c. Let the profit% of S.P. be x.

(x/100) × $280000 = $185000

=> x/100 = $185000/$280000

=> x/100 = 37/56

=> x = (37/56) × 100

=> x = 3700/56

=> x = 925/14

=> x = 16 1/14

So, profit percent of selling price is 16 1/14%.

d. Buying price percentage profit sounds better as far as Ella is concerned.

4 less than the product of 6 and the number

Answers

Answer:

6x - 4

Step-by-step explanation:

4 less than 6 times x

6x - 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the best way to learn math formulas

Answers

Writing down the formulas on charts and pasting it in your room,by seeing this daily it helps to memorize the formulas.

Saying the formulas louder also helps to memorize the formula.

Watching videos related to maths formulas and equations helps to remember the formulas easier.

Doing many problems regularly will helps you to remember the formulas.

lastly study to Understand The Formula not to memorize

Solve for the value of n.
n =

Answers

Answer:

136+(4n-8)=180

136+4n-8=180

4n+128=180

4n=52

n=13

Step-by-step explanation:

please mark me as brainliest

The answer is n=13 hope that helps

3v+1=22
----------------

Answers

Answer:

Solution given:

3v+1=22

subtracting both side by 1

3v+1-1=22-1

3v=21

divide both side by 3

3v/3=21/3

v=7

Answer:

[tex]v=7[/tex]

Step-by-step explanation:

[tex]3v+1=22[/tex]

Subtract 1 from both sides:-

[tex]3v+1-1=22-1[/tex]

[tex]3v=21[/tex]

Divide both sides by 3:-

[tex]\frac{3v}{3}=\frac{21}{3}[/tex]

[tex]v=7[/tex]

OAmalOHopeO

what is the ordered pair to (-4,2)

Answers

Answer:

(1,2) is ordered pair to (-4,2).

Step-by-step explanation:

(1,2)

hora khoi thaha vayena hai

8/3=12/n solve for n

Answers

Answer:

[tex]n=\frac{9}{2}[/tex]

Step-by-step explanation:

[tex]\frac{8}{3} =\frac{12}{n}[/tex]

Cross multiply.

8n=12(3)

8n=36

[tex]n=\frac{9}{2}[/tex]

I hope this helps!

pls ❤ and give brainliest pls

Answer: n = 9/2

Step-by-step explanation:

8/3 = 12/n

Now doing cross multiplication

8/3 = 12/n

8(n) = 12(3)

8n = 36

n = 36/8

n = 9/2

Therefore value of n is 9/2

Must click thanks and mark brainliest

Which expression is equivalent to 2x2x2x2x2

Answers

Answer:

2^5

Step-by-step explanation:

2x2x2x2x2

Count the number of 2's, that is the power

The base is 2

2^5

Answer:

2 to the power of 5

Step-by-step explanation:

there are 5 2's being multiplied by each other and that can be shortened to the power of 5.

A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
width of the rectangle in units?

Answers

Answer:

P = 3

Step-by-step explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

2L = 2*(4w) = 8w

Put that into the perimeter formula (the first one.)

P = 8w + 2w = 27 + w

10w = 27 + w                        Subtract w from both sides

9w = 27                                Divide by 9

w = 27 / 9                          

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

P = 2*12 + 2*3 = 30

P = 27 + w

P = 27 + 3

P = 30 and everything checks.

Can A KIND SOUL HELP ME OUT??? ALL THE ANSWERS I SEE ARE WRONG FOR THIS PROBLEM!!!!!!!!!!:(((

Find the measures of angles x, y and z in the figure.

please show how you got it so I can see if the answer makes sense!!!!

Answers

Answer:

x=y=z=106

Step-by-step explanation:

The upper line is a straight line, so x+74=180, x=106.

y and x are equal in measure as it's a pair of parallel lines and z=y as they are alternate interior angles

Select the correct answer.
Simplify the following expression.
(3x^2 - 11x - 4) – (x – 2) (2x + 3)

Answer choices

5x^2 - 12x - 10
x^2 - 10x + 2
x^2 + 10x - 2
x^2 – 12x – 10

Answers

Answer:

x^2 -10x+2

Step-by-step explanation:

(3x^2 - 11x - 4) – (x – 2) (2x + 3)

FOIL

(3x^2 - 11x - 4) – (2x^2-4x+3x-6)

Combine like terms

(3x^2 - 11x - 4) – (2x^2 -x-6)

Distribute the minus sign

3x^2 - 11x - 4 – 2x^2 +x+6

Combine like terms

x^2 -10x+2

Aaron's car used 2 gallons of gas to drive 32 miles. At what rate does his car use gas in miles per gallon?

Answers

Answer: 16miles per gallon

Step-by-step explanation:

If he went 32 miles with 2 gallons then divide both sides by 2 to get 16 miles with 1 gallon so he travels 16 miles per gallon

If x= √3+√2/√3-√2 find (i) x^2+1/x^2 (ii) x^4+1/x4.
Please give the right answer.

Answers

Answer:

i)= 98     ii)= 9602

Step-by-step explanation:

hope it helps

Help plzzz... circle geometry question.

Answers

Answer:

IU = 161

Step-by-step explanation:

Angle Formed by Two Secants=  1/2 (difference of Intercepted Arcs)

42 = 1/2 (7m+5 - (3m-1))

Distribute the minus sign

42 = 1/2 (7m+5 - 3m+1))

Combine like terms

42 = 1/2 ( 4m+6)

Distribute the 1/2

42 = 2m+3

Subtract 3 from each side

42-3 = 2m+3-3

39 = 2m

Divide by 2

19.5 = m

The sum of the arcs = 360

IU+ 3m-1 + 7m+5 = 360

IU +10m+4 = 360

IU +10(19.5) +4 = 360

IU +195+4 = 360

IU = 360 - 199

IU=161

Solve : x - 11 = 2
pls answer my question ​

Answers

Answer:

x = 13

Step-by-step explanation:

x-11 =2

=x=2 +11

therefore ans is x =13

hope it helps.

Answer:

Here is how,verify if u can ;)

Step-by-step explanation:

x - 11=2

x+ 11 +11

________

x = 13

Please help explanation if possible

Answers

Answer:

y = 1/7x + 0

Step-by-step explanation:

3x + 21y = 21

21y = -3x + 21

y = -3/21x

y = 1/7x

Tgese 3 please answers …..

Answers

Answer:

22) ax=(3/2)*t

23) x+2y=(7/3)*z

24) 2x+10=4b

Let f(x)=r2+2 and g(x)=1–3x. Find each function value:
f(g(-1))

Answers

Answer:

18

Step-by-step explanation:

f(x)=x^2+2

g(x)=1–3x

f(g(-1))

First find g(-1) = 1-3(-1) = 1 +3 = 4

Then find f(4) = 4^2 +2 = 16+2 = 18

f(g(-1)) = 18

Solve for x if 25'+ 3(5') = 4​

Answers

Answer:

x=0

Step-by-step explanation:

Let 5x = y.

(52)x+3(5x)−4=0

y2+3y−4=0

y2−y+4y−4=0

y(y−1)+4(y−1)=0

(y+4)(y−1)=0

y=−4;y=1

y = -4 is not possible.

y = 1 ⟹ x = 0.

Answer:

0

Step-by-step explanation:

Explanation:

Use the given information to prove that f║g (f is parallel to g).


please help

Answers

Answer:

Not Enough Information

Step-by-step explanation:

Unfortunately, you did not give us the "given information", so there is no way to prove the two parallel.

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