SOLUTION: 12. Three consecutive terms of a geometric sequence are x - 3, 6, and x + 2. a. Find the possible values of x.

Algebra.Com
Question 1104201: 12. Three consecutive terms of a geometric sequence are x - 3, 6, and x + 2.
a. Find the possible values of x.

Answer by ikleyn(52775)   (Show Source): You can put this solution on YOUR website!
.
The basic equation for this problem is this proportion


 = ,


which is reduced to this quadratic equation


(x+2)*(x-3) = 36.


Solve for x.


RELATED QUESTIONS

Three consecutive terms of a geometric sequence are x - 3, 6 and x + 2. Find the... (answered by Boreal)
Three consecutive terms of a geometric sequence are x−3, 6 and x+2. Find the possible... (answered by Edwin McCravy)
12. Three consecutive terms of a geometric sequence are x - 3, 6, and x + 2. a. Find... (answered by ikleyn)
How would you x so that x, x+2, and x+3 are consecutive terms of a geometric sequence and (answered by stanbon)
Three consecutive terms of a geometric progression are x,x+6 and x+9.Find the value of... (answered by ikleyn)
Find the value of x where 201, x, 1089 are three consecutive terms in a geometric... (answered by checkley75)
x+3, x-15, 24 are the first 3 terms to a geometric sequence, find the values of... (answered by reviewermath)
The first two terms of a geometric sequence and an arithmetic sequence are the same. The... (answered by Edwin McCravy)
The first three terms of the finite sequence 1, 1/x, 2, y form an arithmetic sequence,... (answered by ikleyn)