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
THIS IS URGENT
german
Ok do the original price minus the new price. 90-55=35. Divide that by the original number and multiply it by 100 to find the price decrease. 35/90=.3888*100=38.89
3 0
2 years ago
I am a solid figure with two congruent polygons that are bases, connected with lateral faces that are rectangle
tino4ka555 [31]
I think it's a rectangle man XD

7 0
2 years ago
In the figure below, BD and EC are diameters of circle P. What is the arc measure of ADE in degrees? IMAGE BELOW
Pani-rosa [81]

Answer:

The arc measure of ∠ADE is equal to 333 degrees.

Step-by-step explanation:

Please refer to the attached diagram,

Let the unknown angle ∠APE = x

Since BD is the diameter of the circle then

∠APE + ∠DPE + ∠APB = 180°

∠APE + 63° + 90° = 180°

x + 63° + 90° = 180°

Solving for x

x = 180° - 90° - 63°

x = 90° - 63°

x = 27°

Since a circle has 360° then

∠ADE + ∠APE = 360°

∠ADE + x = 360°

∠ADE + 27° = 360°

∠ADE = 360° - 27°

∠ADE = 333°

Therefore, the arc measure of ∠ADE is equal to 333 degrees.

8 0
2 years ago
6.
denpristay [2]

Answer:

15n=135

Step-by-step explanation:

first, you need to know how much of the total amount is the money needed for soccer balls, to find this you take the amount of a soccer ball and multiple it by the amount of people

14×15=210

then you subtract that from the total amount to get the amount spent on jerseys.

345-210=135

to get the amount of each jersey you take 135 and divide by the amount of people

135÷15=9

4 0
3 years ago
a parabola opening up and down has vertex (-1, 0) and passes through (-8, -49/8). Write its equation in vertex form.
Eduardwww [97]

Answer:

Step-by-step explanation:

hello :

here is an solution

5 0
3 years ago
Other questions:
  • Division sentence for 24-8=16
    6·2 answers
  • (100 – 40)/2 - 30 =?
    7·2 answers
  • 7h – 5(3h – 8) = –72
    14·2 answers
  • Cuantos numeros enteros hay entre -3 y +3?
    12·2 answers
  • Solve the equation <br> -10 + 3x + 5x = -56 ? ??
    6·2 answers
  • The difference between 3 1/2 and 1 4/5 is _____.<br> ILL GIVE BRAINLIEST!!!!!!
    8·2 answers
  • The cheerleaders are selling tickets to a pasta dinner to raise money for new competition outfits. They plan to charge $6 per pe
    6·1 answer
  • In the figure shown DE = 7x-13 and DF =3x+3 what is the length of DF?
    8·1 answer
  • Geometry- I need help asap !! 50 pts
    11·2 answers
  • Which equation would find the distance between the two points show on the coordinate plane?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!