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
RSB [31]
3 years ago
11

Three geometric progression's P, Q, and R, are such that there sums to infinity are the first three terms respectively of an ari

thmetic progression.
Progression P is 2,1, 1/2,1/4,...
Progression Q is 3,1,1/3,1/9,....

A. Find the sun to infinity of Progression R.
B. Given that the first term of R is 4, find the sun of the first three terms of R.
Mathematics
1 answer:
madam [21]3 years ago
3 0
S= a(1-r ⁿ) /(1-r) & when r is < 1 & n →∞, the sum becomes S= a/(1-r)

Progression P is 2,1, 1/2,1/4,.. ==> r = 1/2
Sum of P when  n--> ∞ = 2/(1-1/2) ==> S =4

Progression Q is 3,1,1/3,1/9,....==> r = 1/3
Sum of Q when  n--> ∞ = 3/(1-1/3) ==> S =4.5

GIVEN THAT 4, 9/2 & X (to be calculated later is a geometric Progression, hence 9/2 - 4 = 0.5 =d (common difference , so X = 4.5+0.5 & X = 5

Sum of R =5 Then => 5=  4 /(1-r)  & r=1/5
Then the sum of R = 4/(1-1/5) ==> S of R =5



You might be interested in
Write an expression for 5 times the difference of twice a number and 4
777dan777 [17]

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

4 0
2 years ago
What is the sum of 2/7 + 2/5 ?<br> please help 10 points and brainlest
omeli [17]

Answer:

2/7 + 2/5=24/35

5 0
2 years ago
50 POINTS!!Different project management steps are initiating, planning, executing, monitoring and controlling, and closing a pro
garri49 [273]

Answer: Planning because you need to start somewhere if you dont then you dont have any of the other steps

Good luck lovie :)

8 0
3 years ago
A researcher plans to study the causal effect of a strong legal system on economy, using data from a random sample of U.S. count
kogti [31]

Answer:

Based on expert opinion the regression does not suffer from omitted variable bias

Step-by-step explanation:

<em>Based on expert opinion the regression does not suffer from omitted variable bias </em>because its indicators taking values of 1 and 0 where 1 would represent taking action by the legal system  and 0 would represent not taking action by the legal system. as

The researcher plans to regress national income per capita based on the effect of the legal system

applying the formula for addressing omitted variable bias ( attached below )

7 0
3 years ago
For a shape to be symmetrical do both sides have to be the same when divided?
rewona [7]
Yes in order for them to be symmetrical they both have to be Symmetrical or the same
6 0
3 years ago
Read 2 more answers
Other questions:
  • Kerry ordered a pizza: one half was topped with
    7·1 answer
  • Look at the screen shot
    7·1 answer
  • 3 roads, a, b, and
    6·1 answer
  • Please help with problem 8. (ONLY IF YOU KNOW)
    10·2 answers
  • What is 9 times 1/10 times 6 times 1/100 4 times 1/1000?
    7·2 answers
  • A soccer dome shaped like a hemisphere has a volume of 450,000 m^3. What is the area of its field? Use 3.14 for pi
    14·2 answers
  • triumphant college is planning to increase the registration fee by 11.5%.if the registration fee is currently N$ 1000, how much
    6·1 answer
  • 2/3 x + 5/6 = x - 1/2<br><br><br><br><br> SHOW WORK PLEASE
    10·2 answers
  • Volume of cuboid is 343 length of edge cube ​
    8·1 answer
  • Which point is on the graph of the inverse function g–1(x)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!