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
4vir4ik [10]
1 year ago
12

Consider the series Three-halves three-fourths StartFraction 3 Over 8 EndFraction StartFraction 3 Over 16 EndFraction ellipsis W

hat expression defines Sn
SAT
1 answer:
slega [8]1 year ago
6 0

The expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)

<h3>How to solve Geometric series?</h3>

We are given the series;

3/2 + 3/4 + 3/8 + 3/16 +.....

Formula for the nth term of a geometric series is;

aₙ = ar^(n - 1)

where;

a is first term

r is common ratio

From our given series;

a = ³/₂

r = (³/₄)/(³/₂) = ¹/₂

We know that Sum of GP when n < 1 is;

Sₙ = a(1 - rⁿ)/(1 - r)

Thus;

Sₙ = ³/₂(1 - ¹/₂ⁿ)/(1 - ¹/₂)

Sₙ = 3(1 - ¹/₂ⁿ)

Thus, the expression to find the sum of terms of the series is; Sₙ = 3(1 - ¹/₂ⁿ)

Read more about Geometric Series at; brainly.com/question/24643676

#SPJ1

You might be interested in
Find the value of x if your answer is not an integer
kotykmax [81]

Answer: To solve such problems we need to know about Trigonometry.

Trigonometric functions

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The value of x is 5√3.

Explanation: Given to us,

the base for the triangle, AB = 5 units,

Hypotenuse for the triangle, BC = 10 units,

∠B = 60°,

Solution

The question can be solved in two ways,

1.   Using the Pythagoras theorem,

According to Pythagoras theorem,

substituting the values,

2. using the trigonometric function for ∠B,

for ∠B in ΔABC,

substituting the values,

we know that value of tan(60°) is √3,

Hence, the value of x is 5√3.

7 0
2 years ago
When eleanor roosevelt says, "there is such a thing as going through the world blindfolded. i have known people who were quite u
Leokris [45]

When Eleanor Roosevelt says, "There is such a thing as going through the world blindfolded. I have known people who were quite unconscious of the play of the sun and shadow on the hills," she means people can fail to recognize the beauty in the world. This means that these people rarely take advantage of opportunities in life.

The wife of President Franklin D. Roosevelt, Eleanor Roosevelt was the first lady of the United States of America from 1933 to 1945. During this tenure, Roosevelt championed poverty alleviation, access to education and civil rights  as well as travelled to the European and Pacific front lines, when the world was engaged in World War II.

To learn more about Eleanor Roosevelt, click

brainly.com/question/370460

#SPJ4

4 0
1 year ago
Read 2 more answers
Access to this page has been denied because we believe you are using automation tools to browse the website.
earnstyle [38]

Considering the statement described above, this is a common error attributed to the user's browser.

This type of error is often attributed to two major causes, which are:

  • Javascript is disabled or blocked by an extension. This is usually a result of ad blockers on your browser.

  • Your browser does not support cookies.

To bypass such errors and access the website, ensure that Javascript and cookies are enabled on your browser and that you are not blocking them from loading before accessing the website.

Hence, in this case, it is concluded that this is a common error.

Learn more about Javascript here: brainly.com/question/16698901

8 0
2 years ago
10 points and choose 3 lines of what it is and please be right
aleksandr82 [10.1K]

Answer:

“we have before us many, many long months of struggle and suffering”

“we have before us a deal of the most grievous kind”

“victory at all costs, victory in spite of terror...”

3 0
2 years ago
A bag contains only blue and red marbles.Asman takes 1 marbles at random out of a bag. Probability that she takes a red marble o
Amiraneli [1.4K]
At first situation, ratio = x/y = 1/5
5x = y  -------Equation (i)
Now, after adding 5 more red, it is = x + 5 / y+5 = 1/3
y+5 = 3(x + 5)
y + 5 = 3x + 15
y - 3x = 15 - 5

Substitute the value of y from equation (1), 
5x - 3x = 15 - 5
2x = 10
x = 10/2
x = 5

Originally, There were 5 red marbles in the bag

Hope this helps!
7 0
2 years ago
Other questions:
  • Which takes place during the courtship stage of the family life cycle? A. A child becomes an adult. B. People meet and fall in l
    6·2 answers
  • If your cover letter will be processed digitally, it should include ___________
    15·1 answer
  • Match each fossil with the layer where it’ll be present based on those conditions.
    14·1 answer
  • What systems are involved in human reproduction?
    8·1 answer
  • Nhận diện sựu tương đồng và sự khác biệt trong truyện đồng thoại và truyện ngụ ngôn
    5·1 answer
  • Please help! I need an explanation :(
    10·1 answer
  • Which of the following is the best definition of fermentation?
    14·1 answer
  • Use the drop-down menus to answer the questions. What sound device is used in the line "What a tale of terror, now, their turbul
    11·2 answers
  • Soothing musical CDs that contain imperceptible messages designed to help people eat more fruits and vegetables is an example of
    11·2 answers
  • Nurselogic testing and remediation advanced
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!