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]
4 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]4 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
A Relation R is defined on a set A where A = set of age of each family member e.g (4, 12, 14, 19, 21).
Brut [27]

Answer:

cthxf fgxzgfrzmx

forxhjvf bv sfdbhbuvbhjfbvhbsbvhjbdo

3 0
4 years ago
Need help with math problem if do 5 star
ddd [48]

Answer:

D.

Step-by-step explanation:

the dot is right in between zero and one, which makes it 0.50

4 0
2 years ago
Read 2 more answers
PLEASE ANSWER ASAP
hjlf
It is known
 \dfrac{\pi}{6} =30^{\circ} and 
 \cos \dfrac{\pi}{6}= \dfrac{ \sqrt{3} }{2} (if you want to determine cosine of 30° you should draw the perpendicular line to the x-axis and find the point of intersection, the value of x-coordinate is the cosine of 30°).

The angle \dfrac{5\pi}{6} =150^{\circ} and
\cos \dfrac{5\pi}{6}=- \dfrac{ \sqrt{3} }{2} (see image).
The angle \dfrac{7\pi}{6} =210^{\circ} and

\cos \dfrac{7\pi}{6}=- \dfrac{ \sqrt{3} }{2} (see image).


5 0
3 years ago
Read 2 more answers
What is 7.630 in word form
Furkat [3]
Seven point six three
6 0
3 years ago
Read 2 more answers
On a subway route, station C is located at the midpoint between stations A and D. Station B is located at the midpoint between s
Finger [1]
The distance between C and A/D is 1,2 km. The distance between B and A/C is 0,6. It's in this order: A 0,6 km B 0,6 km C 1,2km D so the distance between B and D is 0,6 + 1,2 = 1,8 km
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is 1/2 equal to?
    12·1 answer
  • carols bikes 1 kilometer east 4 kilometers north and then 5 kilometers east again. how far is caroll from her starting position
    14·2 answers
  • When taking a systematic random sample of size n, every group of size n from the population has the same chance of being selecte
    13·1 answer
  • Can someone help with 31? Thanks!
    13·1 answer
  • Simplify by referring to the appropriate triangle or trigonometric identity. (Use symbolic notation and fractions where needed.)
    13·1 answer
  • Which best describe the meaning of this function notation ? Cost(weight)
    9·2 answers
  • Vlad spent 20 minutes on his history homework and then completely solved x math proplems that each took 2 minutes to complete. W
    15·2 answers
  • Please help thanks <br> a(n)=−6+3(n−1)
    10·1 answer
  • Sienna bought vegetables to make a large pot of vegetable soup. She bought 5.35 pounds of potatoes, 3.8 pounds of carrots, and 2
    9·1 answer
  • HEYYYYYYYYYYYYYYYYY
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!