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
adelina 88 [10]
3 years ago
14

Which equation could be used to calculate the sum of the geometric series? One-third + two-ninths + StartFraction 4 Over 27 EndF

raction + StartFraction 8 Over 81 EndFraction + StartFraction 16 Over 243 EndFraction S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction S 5 = StartFraction two-thirds (1 minus (one-third) Superscript 5 Baseline) Over (1 minus one-third) EndFraction S = StartFraction one-third Over (1 minus two-thirds) EndFraction S = StartFraction two-thirds Over (1 minus one-third) EndFraction
Mathematics
2 answers:
Troyanec [42]3 years ago
5 0

Answer:

A

Step-by-step explanation:

edge 2020

kondaur [170]3 years ago
4 0

Answer:

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

Step-by-step explanation:

Given the geometric series:

1/3+2/9+4/27+8/81+16/243

First we must know that the series is a finite series with just 5terms.

Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.

r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27

r = 2/9 × 3/1

r = 2/3

Similarly;

r = 4/27×9/2

r = 2/3

Since all values of r is the as them the common ratio is 2/3.

If r< 1 in geometric series, then the formula for finding its sum is applicable

Sn = a(1-rⁿ)/1-r

a is the first term = 1/3

r is the common ratio = 2/3

n is the number of terms = 5

Substituting the values in the formula we have:

S5 = 1/3{1-(2/3)^5}/1-2/3

This gives the requires equation

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

You might be interested in
If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?
Sphinxa [80]

Answer: $4

Step-by-step explanation:

If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4

3 0
2 years ago
Read 2 more answers
Given f(x) = 6x^4 – 10x^3 + 40x – 50, find f(2)
ASHA 777 [7]
F(x)=6x^4-10x^3+40x-50, plug 2 in for x
f(2)=6(2)^4-10(3)^3+40(2)-50
f(2)=12^4-30^3+80-50
f(2)=20735-27,000+80-50
f(2)=-6,235
4 0
3 years ago
Which quantity is proportional to 21/3
suter [353]

Answer:

7/1 you can simplify the top and bottom by 3

Step-by-step explanation:

7 0
2 years ago
857,288 - 38,927 us my question
Ganezh [65]
The answer is 818,361!
7 0
3 years ago
Read 2 more answers
The question is in the picture. PLEASE HELP!!!! Thank you!!!;);)
fomenos

Answer:

19/9

Step-by-step explanation:

16/27^2/3=19/9

hope this is helpful! brainly deleted my last response for some reason

8 0
2 years ago
Other questions:
  • What are some pros and cons of using credit scores for insurance pricing?
    6·1 answer
  • Arrange the terms of the polynomial in descending powers of b 16-8b^7+5b-4b^5​
    14·1 answer
  • In ΔPQR, point C is the centroid. If PZ = 7, then RZ =<br> A) 3.5 <br> B) 7 <br> C) 14 <br> D) 21
    8·1 answer
  • How does depositon change the earths surface
    5·1 answer
  • Measure the angle and classify it as right, acute, or obtuse.Question 1 options:
    11·1 answer
  • I have a problem, it says, identify the set of numbers that best describes each situation. The situation is, the amount of money
    5·1 answer
  • What the is the y-intercept of this equation: 4x = 2y +6
    13·1 answer
  • 6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?​
    7·1 answer
  • What is the solution of the system ? Use substitution y=2x+7 y=x-1
    12·1 answer
  • Aisha is ordering a taxi from an online taxi service. She has to pay a flat charge just to
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!