SOLUTION: A geometric progression has a positive common ratio,and the sixth term is (5/4)^4,The sum of the first three terms and the sum of the third,fourth and fifth terms are in the ratio
Algebra.Com
Question 1040863: A geometric progression has a positive common ratio,and the sixth term is (5/4)^4,The sum of the first three terms and the sum of the third,fourth and fifth terms are in the ratio 16:25.Find the sum of the first three terms?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Given:
1) , and
2) .
From #2,
==>
=
= ==> ==> r= 5/4, since r > 0 as stipulated.
==>
==> ==>
==>
RELATED QUESTIONS
A geometric progression has 6 terms. The first term is 192 and the common
ratio is 1.5.... (answered by greenestamps)
A geometric progression has six terms. The first term is 486 and the common ratio is ;.... (answered by greenestamps)
A geometric progression has first term a and common ratio r. The sum of the first three... (answered by greenestamps)
A geometric progression has first term 𝑎 and common ratio 𝑟. The sum of the first... (answered by KMST)
A geometric progression has first term 𝑎 and common ratio 𝑟. The sum of the first... (answered by KMST)
In a geometric progression of positive terms, the 5th term is 9 times the 3rd term and... (answered by richwmiller)
In a geometric progression,the 6th term is 96 and the common ratio is -2. Find the sum of (answered by ikleyn)
The sixth and 13th terms of a geometric progression are 5/2 and 320 respectively.Find the (answered by greenestamps)
The first term of a geometric progression is 5 and the fifth term is 1280, the common... (answered by ikleyn)