(3x + 2x = 2400)
(5x = 2400)
(x = 480)
(480 were sold for each)
The first term of GP, a=4
Common ratio=
=
=-5
r=-5
nth term of GP, an=a![r^{n-1}](https://tex.z-dn.net/?f=%20r%5E%7Bn-1%7D%20%20)
a8=4*![(-5)^{8-1}](https://tex.z-dn.net/?f=%20%28-5%29%5E%7B8-1%7D%20%20)
a8=4*![(-5)^{7}](https://tex.z-dn.net/?f=%20%28-5%29%5E%7B7%7D%20%20)
a8=4*-78125
a8=-312500
To "rationalize the denominator" is another way to say, getting rid of that pesky radical at the bottom.
we'll simply start by multiplying top and bottom by the "conjugate" of the denominator, recall difference of squares, anyhow, let's do so
6x-14 I believe is the answer