1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
geniusboy [140]
2 years ago
12

Determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter div

erges.) 1 9 1 18 1 27 1 36 1 45
Mathematics
1 answer:
Lemur [1.5K]2 years ago
7 0

The geometric series is convergent and the value is 16.

<h3>How to illustrate the information?</h3>

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

brainly.com/question/24643676

#SPJ4

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

You might be interested in
True or False
3241004551 [841]
True the circle is a congruent to the radius of an inscribed regular polygon inside the circle
4 0
3 years ago
Read 2 more answers
Make a table of values for f(x) = 18x2 + 10x + 1.
serg [7]

Answer/step-by-step explanation:

To make a table of values, substitute each value of x into the given equation function f(x) = 18x^2 + 10x + 1

For x = -3,

f(-3) = 18(-3)^2 + 10(-3) + 1

f(-3) = 18(9) + (-30) + 1

f(-3) = 162 - 30 + 1 = 133

For x = -2,

f(-2) = 18(-2)^2 + 10(-2) + 1

f(-2) = 18(4) + (-20) + 1

f(-2) = 72 - 20 + 1 = 53

For x = -1,

f(-1) = 18(-1)^2 + 10(-1) + 1

f(-1) = 18(1) + (-10) + 1

f(-1) = 18 - 10 + 1 = 9

For x = 0,

f(0) = 18(0)^2 + 10(0) + 1

f(0) = 18(0) + 0 + 1

f(0) = 0 - 0 + 1 = 1

For x = 1,

f(1) = 18(1)^2 + 10(1) + 1

f(1) = 18(1) + 10 + 1

f(1) = 18 + 10 + 1 = 29

For x = 2,

f(2) = 18(2)^2 + 10(2) + 1

f(2) = 18(4) + 20 + 1

f(2) = 72 + 20 + 1 = 93

For x = 3,

f(3) = 18(3)^2 + 10(3) + 1

f(3) = 18(9) + 30 + 1

f(3) = 162 + 30 + 1 = 193

7 0
3 years ago
A sphere has a diameter of 24 units. What is its volume in cubic units?
Stells [14]
The formula is=4/3*pi*radius Cubed.............
6 0
3 years ago
1. When Mrs. Weeks bought all of the baseballs and softballs, she paid
Lostsunrise [7]

Answer:

1) $104

2) 7(28) + 5(20) + c= 4(100)

3) 21 more balls

4) (135/9) + (48/6)

Step-by-step explanation:

The question is incomplete. The total number of balls wasn't stated neither was the cost of each ball.

To determine the answers to the questions above, Let's look at the following question:

Type of Ball:

football basketball baseball softball

Cost per Ball:

$8.00 $9.00 $7.00 $5.00 respectively

Total Number of Balls: 32 36 28 20 respectively

1. When Mrs. Weeks bought all of the baseballs and softballs, she paid for them using four $100.00 bills. How much change did she receive?

2. Write expressions that include parentheses and order of operations to show how to find the answer. Show your work.

3. After school began, Mrs. Weeks realized that she needed more

basketballs and footballs. If she spent $135.00 on basketballs and

$48.00 on footballs, how many more balls did she purchase?

4. Write expressions the include parentheses and order of operations to show how to find the answer. Show your work.

Solution:

Total number of balls = 32+36+28+20 = 116

Cost per ball for football = $8.00

Cost per ball for basketball =$9.00

Cost per ball for baseball =$7.00

Cost per ball for softball =$5.00

1) number of balls for baseball = 28

number of balls for softball = 20

Cost of 28 baseball = 28(7) = $196

Cost of 20 baseball = 20(5) = $100

She paid with = four $100.00 bills

= 4×100 = 400

Change she received = 400-(100+196) = 400-296

= $104

2) 7(28) + 5(20) + c= 4(100)

Where c = the change she collected

196 + 100 +c = 400

296 + c = 400

c = 400-296

c = $104

3) she spent $135.00 on basketballs

$48.00 on footballs

Number of basketballs bought = 135/9

= 15 basketballs

Number of footballs bought = 48/8

= 6 footballs

Total number of balls purchased = 15+6 = 21

She purchased 21 more balls

4) (135/9) + (48/6)

5 0
3 years ago
Please help me I need to get good grades.
Reil [10]

Answer:

1. the belief in one god.

2. by beliving myself.

3. Yes, Because if we didn't culture beliefs people would believe in what ever they want.

4. People not beliefing in their god/ worrying about other people.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Using the Normal Distribution with Technology- Calculator Due Thursday, Sep 12, 12:59am EDT Use the Normal Distribution to compu
    8·1 answer
  • What percent?<br><br> What percent of the first 20 natural numbers are prime numbers?
    8·2 answers
  • Type 11//5 in the simplest form
    15·1 answer
  • 1. (5 pts). A coin is flipped 4 times.
    9·1 answer
  • Solve by the method of your choice, select correct choice below if it is either a solution set, infinitely many solutions the so
    10·1 answer
  • Given the equation Square root of 2x plus 1 = 3, solve for x and identify if it is an extraneous solution. x = 4, solution is ex
    15·2 answers
  • Jumoke is 11years older than amina. in 5 years time, jumoke will be twice as old as amina. Find amina present age​
    6·2 answers
  • How do I Find the slope and Y intercept of each equation:
    11·1 answer
  • Write 82,700,000 in scientific notation.
    15·1 answer
  • Paula has $3,281 in a savings account that earns 8% interest, compounded annually.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!