SOLUTION: A G.P. Is such that the third term is 9 times the first term, while the 2nd term is one-twenty fourth of the 5th term. Find its 4th term?

Question 770720: A G.P. Is such that the third term is 9 times the first term, while the 2nd term is one-twenty fourth of the 5th term. Find its 4th term?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A G.P. Is such that the third term is 9 times the first term, while the 2nd term is one-twenty fourth of the 5th term. Find its 4th term?
--------
Form: a(n) = a*r^(n-1)
--------------------------
a(3) = a*r^2 = 9a
a(2) = a*r = (1/24)[ar^4]
===========================
4th term = ar^3 = (ar^2)r = 9a*r
----
So, (1/24)(ar^4) = 9ar
ar^4 = 9/24
-----
a(4) = (9/24)r
=======================
Cheers,
Stan H.
=======================
RELATED QUESTIONS
A G. P is such that the third term is nine times the first term, while the second term (answered by greenestamps)

A G.p is such that the third term is 9 times the first term, while the second term is... (answered by greenestamps)

If 2nd term is 9 and 5th term is six times first term find 6th term (answered by ikleyn)

A G.P has the second term as 9 and the fourth term is as 81.find the some of the first... (answered by greenestamps)

An exponential sequence is such that the third term minus the first term is 48. The... (answered by richwmiller)

An exponential sequence is such that the third term minus the first term is 48. The... (answered by greenestamps)

The 5th term of a geometric progression is 4375 and it 2nd term is 35.find the 3rd... (answered by josgarithmetic)

An exponential sequence is such that the difference between the third term and the first... (answered by josgarithmetic)

(1.)Find the number of terms in an A. P whose sum is 1340 with the first term being 3 and (answered by KMST)