Find the sum of the finite series:
10
Σ2· (3)n-1
n=1

Answers

Answer 1

Answer: 59,048

Step-by-step explanation:

To find the sum of the given finite series:

Σ2· (3)n-1

n=1

where n ranges from 1 to 10, we can use the formula for the sum of a geometric series.

The formula for the sum of a geometric series is:

S = a * (r^n - 1) / (r - 1)

In this case, a = 2 (the first term of the series) and r = 3 (the common ratio).

Using the formula, we can calculate the sum:

S = 2 * (3^10 - 1) / (3 - 1)

= 2 * (59049 - 1) / 2

= (118098 - 2) / 2

= 118096 / 2

= 59048

Therefore, the sum of the given finite series is 59,048.


Related Questions

Please I need help (>^<)ゞ

Katie and Elizabeth went to the store so Katie could return
some headphones. All DVDs were on sale for the same
price. Katie returned a set of headphones and purchased 3
DVDs, costing her an additional $5.
Elizabeth purchased 2 sets of the same headphones Katie
returned and a DVD for $67.
What is the cost of each item?
o Headphones $11; DVD $28
o Headphones $28; DVD $11
o Headphones $15; DVD $26
o Headphones $26; DVD $15

Answers

Answer:

Step-by-step explanation:

D

and Answer:
B, Headphones are $28 and DVDs are $11
Step-by-step explanation:
3 DVDs cost $33
1 set of headphones cost $28

33 - 28 - 5

4. Look at the first example (a).
Now write the other numbers in expanded notation.
a. 654 = 600 + 50 + 4
b. 203 =
C. 2015 =
d. 8 002 =
e. 7 605 =​

Answers

b) 200 + 3
c) 1000 + 10 + 5
d) 8000 + 2
e) 7000 + 600 + 5
203=200+0+3 or 200+3
2015=2000+0+10+5
8002=8000+2
7605=7000+600+5
No need to write the +0

find the minimum angle of rotation of the given figure a. 40* b. 60* c. 45* d. 8*

Answers

I’m not an expert at this but my guess is 45 degrees. Can you let me know what the correct answer was?

Answer:

45 degrees

Step-by-step explanation:

Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every 16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?

A) 14.40
B) 16.40
C) 18.40
D) 20.40

Please give explanation of your answer , please .

Answers

Answer:

16.40

Step-by-step explanation:

3 min-> 180 s

180÷16≈11

11+1=12

12x1.20=14.40

14.40 + 2 = 16.40

please help it’s due!

Answers

Answer:

....m....................................

THE ANSWER IS: 42.6 units

i found the lengths of FE and FD by using the pythagorean theorem

then added all three lengths together to get 42.6

14x² - 21x³ + 49x⁴

ayudenme porfavor​

Answers

no se

sólo lo hago esto para poder preguntar

The hikers could only hope that they would soon be
(52)
The drone of a helicopter's engines on 8 February 2018 must have been music to the
(53)
of Mr Dominick Tan and Ms Lum Jie. The rescue of the duo ended a search-and-rescue
(54)
that started on the evening of 5 February 2018. It
of a team of 90 police officers, park
(55)
rangers, firefighters and volunteers.​

Answers

Answer:

(52) rescued.

(53) ears

(54) mission

(55) consisted

Step-by-step explanation:

Mark buys $45 worth of office supplies. He uses a 15% off coupon. What will be the new price?

Answers

Answer:

38 dollars and 25 cents

Step-by-step explanation:

15% off is the same as saying 85% of the original price, because 100%-15%=85%.

We can do 85% · 45=0.85 · 45=38.25

Answer:

$38.25

Step-by-step explanation:

A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?

Answers

Answer:

1

Step-by-step explanation:

Sixteen is divided by the sum of the number q and 1. The result is four. What is the number.

Answers

Answer:

The number is 3.

Step-by-step explanation:

Ok, so here we're solving for a variable. The equation would be:

16 ÷ (q + 1) = 4

We can rewrite this as:

4(q + 1) = 16

First, you need to isolate q + 1. To do that, you to the inverse of the operation. IN this case, division is the inverse of multiplication. So:

4(q + 1) = 16

÷4           ÷4

     q + 1 = 4

Alright, now we isolate q. The inverse of addition is subtraction, so we do this:

q + 1 = 4

  - 1   - 1

    q = 3

Now for our check:

16 ÷ (q + 1) = 4

16 ÷ (3 + 1) = 4

16 ÷ 4 = 4

4 = 4

q = 3

9 points
7) What is the Unit Rate? $12.84 for 4 cookies. *
O $3.21
O $4.20
O $5.19
O $2.50

Answers

Answer:

$3.21

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

a number which is now a rattional number is a​

Answers

Answer:

??? Incomplete sentence

Step-by-step explanation:

NEED HELP ASAP !!! Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (b) Which class earned more money? (c) How much more money did that class earn? ​

Answers

Answer:

Mr. Kelly's class old more and 11.455 more then the other class

Step-by-step explanation:

i used a calutor

Some one already answered this, heres the link to the answer:

brainly.com/question/19662350?referrer=searchResults&exp=25-1

I think I got the answer but I need someone to help

Answers

That’s a hard one for sure but I would say six

Grayson took out a loan for $900. In 18 months, he paid $54 in simple interest. What was the interest rate on Grayson's loan?

Answers

Answer:

.

Step-by-step explanation:

the total length of 3 boards are 7/8 of a yard. The lenght of 2 boards are 1/4 of a yard and 3/16 of a yard. What is the length of the third board?

Answers

Answer: 7/16 of a yard

Step-by-step explanation:

first we have to find common denominators. 3x=7/8, or 3x=14/16

1/4=4/16 then 14-4-3=7, all over 16.

please help me thank you in advance!

Answers

Answer:

First option: (x+9)^2=81

Step-by-step explanation:

It has the same solution

cat este ¾-⅝?? caci eu nu stiu ​

Answers

Answer:

1/8 hope this help :)

Answer:

1/8 or 0.125

Step-by-step explanation: Key || · equals multiplication

3/4  -  5/8  =  3 · 2/4 · 2  -  5/8  =  6/8  -  5/8  =  6 - 5/8 = 1/8

Pls help asap 15 POINTS
For what value of c are the factors of x2 + cx + 121 the same?
The value of c is [blank]?

Answers

Answer:

22

Step-by-step explanation:

Using the expression to determine the value of c

121 = (c/2)²

find c

121 = c²/4

c² = 121 * 4

c = √121*4

c = √484

c = 22

Hence the value of c is 22

Simplify to a single power of 5

Answers

Answer:

7

Step-by-step explanation:

multiplying exponents adds them together... 5+2=7

The answer is simply seven

In a softball league, 4 coaches are needed for every 28 players. If 84 players sign up for softball, how many coaches are needed?

Answers

Answer:

12 coaches

Step-by-step explanation:

If for every 28 players, 4 coaches are needed, for 84 (triple the amount) players, 12 coaches would be needed (triple the amount)

Help needed with this

Answers

Answer:

el 3

Step-by-step explanation:

Step-by-step explanation:

step 1. a function must only have a single y value for each x value.

step 2. for the input x, there can only be one output or result y.

step 3. #1 is a function because for each x there is only one y.

step 4. #2 and #3 are functions also.

step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)

step 6. (2, 2) and (2, -2) also makes #4 not a function.

6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.​

Answers

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/((x2-x1)

m=(12-7.5)/(120-30)

m=0.05

y=0.05x+b, using point (30,7.5)

7.5=0.05(30)+b

7.5=1.5+b

b=6

y=0.05x+6

ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1

Answers

Answer:

The answer is either 56.55in or 28.27

Step-by-step explanation:

This is the formula that I used

C=2πr

Circumference = 2·π·4.5 ≈ 28.27433 or

Circumference = 2·π·9 ≈ 56.54867

The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.

Hope that helps :)

The circumference of the circle will be 56.52 inches.


What is a circumference?

The circumference of a circle can be found using the formula:

Circumference = 2πr

Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:

Circumference = 2π(9 inches)

Circumference = 18π inches

We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:

Circumference ≈ 56.52 inches

Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.

To know more about circumference follow

https://brainly.com/question/20489969

#SPJ2

In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x): x is enrolled in the class T(x): x took the test Translate the following English statements into a logical expression with the same meaning.

a. Someone took the test who is enrolled in the class.
b. All students enrolled in the class took the test.
c. Everyone who took the test is enrolled in the class.
d. At least one student who is enrolled in the class did not take the test.

Answers

Answer:

From the examples given below:

E(x): x is enrolled in the class T(x): x took the test ,

The following sentences can be translated into something similar like:

1 E(x): All students enrolled in the class.

T(x): All students took the test.

2. E(x): Someone took the test  

T(x): Someone are enrolled in the class.

3. E(x): Everyone took the test  

T(x): Everyone is enrolled in the class.

4. E(x): At least one student  is enrolled in the class

T(x): At least one student did not take the test.

Step-by-step explanation:

Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game

Answers

16 correct answers

(-80 divided by -5)

Can y’all help me please I need help

Answers

Answer:

503 inches (rounded to the nearest whole number)

Step-by-step explanation:

First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:

[tex]C=\pi d[/tex] when [tex]d[/tex] is the diameter

Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:

[tex]C=\pi (16)\\C=16\pi[/tex]

Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.

[tex]16\pi *10\\= 160\pi[/tex]

[tex]= 503[/tex] inches when rounded to a whole number

Therefore, the wheel travelled approximately 503 inches.

I hope this helps!

2x-3y = -2
X + 24 = 15

Answers

Answer:

No

Step-by-step explanation:

2x-3y= 6xy

if the height and radius of a cylinder tank are equal and it's curved surface area is 308cm^2,find it's height​

Answers

Let height be x, then radius is also x.

We know that,

C.S.A. = 2πrh

=> 308cm² = 2πxx

=> 308cm² = 2πx²

=> 308cm² = 2(22/7)x²

=> 308cm² = (44/7)x²

=> 308cm² × (7/44) = x²

=> 2156/44 cm² = x²

=> 49cm² = x²

=> √(49cm²) = x

=> 7cm = x

So, height and radius are 7cm each.

Find the inverse function of f(x)=4x-8

Answers

Answer:

f^-1(x)=1/4x+2

Step-by-step explanation:

y=4x-8

change x and y

x=4y=8

switch sides

4y-8=x

add 8

4y=x+8

divide both sides by 4

y=1/4x+2

substitute f^-1(x) for y

f^-1(x)=1/4x+2

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