SOLUTION: If (3-x),6 and (7-5x) are in g.p find the common ratio and sum of g.p

Algebra ->  Sequences-and-series -> SOLUTION: If (3-x),6 and (7-5x) are in g.p find the common ratio and sum of g.p       Log On


   

Question 1200418: If (3-x),6 and (7-5x) are in g.p find the common ratio and sum of g.p
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You should arrange 6%2F%283-x%29=%287-5x%29%2F6, and solve it, and then evaluate the common ratio.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio between terms is constant:

6%2F%283-x%29=%287-5x%29%2F6
%287-5x%29%283-x%29=36

This will give you a quadratic equation; it will have two solutions, so there will be two sets of answers to the problem.

The quadratic will factor; but if you aren't good at factoring quadratics, you can go straight to the quadratic formula.