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]
2 years 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]2 years 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
A B C or D please answer this one
Alex73 [517]
C is the best choice for this
6 0
4 years ago
Read 2 more answers
31. All the following are effective ways of preparing for an Interview EXCEPT
frez [133]
Memorising interviews questions and answers because you don’t want to sound too rehearsed
8 0
3 years ago
Read 2 more answers
What are the limits of economic science?
Zanzabum

Answer:

I tried my best Answer listed below:

Explanation:

The primary limitation of economics, Chetty argues, is that economists have a limited ability to run controlled experiments for theoretical macroeconomic conclusions. The high monetary cost and ethical standards make these types of controlled experiments impractical.

6 0
3 years ago
Read 2 more answers
Which of the following resources help you plant a autobiographical narrative?
Olin [163]

b. i hope thats the right answer and works


3 0
3 years ago
Read 2 more answers
Give the most space to _____.
Dimas [21]

Answer:

me

Explanation:cuz i sdatet

5 0
2 years ago
Other questions:
  • Once you have chosen a topic, what should you do before beginning the research process?
    12·2 answers
  • What is the best studying method?
    6·2 answers
  • What separates mars from Jupiter?
    12·2 answers
  • A bird species is introduced in an area. The bird species feeds on the same seeds as the bird species that already occupied the
    14·2 answers
  • What are you unlikely to find at Chichicastenango? computers food drummers antiques
    9·2 answers
  • I need solution to 1 problem. ​
    7·2 answers
  • The volume of solution in a test tube is measured to be 0. 0067 liter. Which digits in the measurement are significant figures?.
    13·1 answer
  • Patrick loves taking care of homing pigeons. He sent a note to his cousin who lives 24. 0 km away from his house. These birds fl
    5·1 answer
  • Find the average power pavg created by the force f.
    6·1 answer
  • A beaker about two-thirds full of a liquid. check all that apply. pour using tongs. wear chemical resistant gloves. taste to mak
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!