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
Rama09 [41]
3 years ago
12

Let the geometric sequence {an} be defined as follows: {12, 6, 3, 3 /2 , 3 /4 , 3/ 8 ,...} Find the sum of the entire sequence,

S∞. A) 24 B) 240 C) 1,080 Eliminate D) 2,176,782,336
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

A) 24

Step-by-step explanation:

The given geometric series is {12, 6, 3, 3 /2 , 3 /4 , 3/ 8 ,...}

Each term can be represented as a product of its previous term and \[\frac{1}{2}\]

The generic term of the series can be represented as the product of the first term 12 and \[\frac{1}{2}^{n-1}\] where n is the index of the term in the series.

The sum to infinity of such a series is given by the following formula:

\[\frac{term1}{1-ratio}\]

Substituting and calculating:

\[\frac{12}{1-\frac{1}{2}}\]

=\[\frac{12}{\frac{1}{2}}\]

=12*2 = 24

You might be interested in
Convert 46,500 scientific notation
Shkiper50 [21]
46500....ok...pay attention....put a decimal behind the first number  4.6500  ....now start counting all the numbers to the right of the decimal...there are 4 numbers.....so ur answer is 4.65 x 10^4
8 0
3 years ago
I need assistance with "What does the area of the rectangle depend on", the graph section, and the relationship section.
DanielleElmas [232]

The area equation here is:

A=2w^2

That means that the area depends on the width measurement of the rectangle.

To graph a quadratic function you have to see if the parabole is positive and the transformations, in this case, are positive and have a multiplication by two, which means that the graphics in x=1 and x=-1 will be y=2

Finally, you can conclude that there, you have a relationship between the area and the width of the rectangle because is a quadratic relationship and the area will increase in a quadratic form according to the increase of the width.

7 0
1 year ago
I need help with question 3
agasfer [191]

Answer:

see explanation

Step-by-step explanation:

To find the y-intercept let x = 0, in the equation

6x - 3y = 15 → (1)

x = 0 : - 3y = 15 ⇒ y = - 5 ⇒ (0, - 5) ← y- intercept

x + 3y = - 8 → (2)

x = 0 : 3y = - 8 ⇒ y = -\frac{8}{3} ⇒ (0, - \frac{8}{3}) ← y- intercept


4 0
3 years ago
What are the next three terms in the sequence? -3, 6, 15, 24
bearhunter [10]
Its adding 9 every time.
-3, 6, 15, 24, 33, 42, 51, 60
7 0
3 years ago
Danielle makes the claim that when the polynomial x^2-3x-10 is divided by x-5, the remainder is 0. Use what you have learned abo
Mumz [18]

Answer:

<h3>Daniel is correct</h3>

Step-by-step explanation:

Given the polynomial P(x) = x^2-3x-10

To check that the remainder is zero if divided by x - 5, we will first have to equate x - 5 to zero and get x;

x - 5 = 0

x = 5

Then find P(5)

P(5) = 5^2 - 3(5) - 10

P(5) = 25 - 15 - 10

P(5) = 25-25

P(5) = 0

<em>This shows that x - 5 is a factor of the polynomial since P(5) gave us zero according to the factor theorem</em>

7 0
3 years ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B3%7D%20%20%5Cdiv%20%20%5Cfrac%7B2%7D%7B5%7D%20%20%2B%20%20%5Cfrac%7B4%7D%7
    15·1 answer
  • What is a comparison statement
    13·1 answer
  • Please help!!! MAX POINTS I CAN DO i put it in math because i trust the math people more
    9·2 answers
  • URGENT! When we solve (cos²x - 1 = 0) by adding and taking the square root, how come we get the same answer when we factor (cos²
    13·1 answer
  • mitt ate 24 peanuts this represents 75% of the bag of peanuts how many peanuts were originally in the bag
    7·2 answers
  • Please answer need by tonight
    10·2 answers
  • in the ratey the cat animation there is a guy who earns $10 per lawn complete the table below that represents money earned per l
    5·1 answer
  • Last year there were 20 kids on the soccer team, this year there are 25 kids on the soccer team. What was the percent increase?
    12·2 answers
  • Please help! <br> what is the value of x, y, and z?
    5·2 answers
  • Help please :(
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!