A bike rental company rented out 6 bikes in its first month. The number of bikes it rented tripled each month.What was the total number of bikes the company rented out for the first 6 months?

Hi there! 

The total number of bikes rented is 2,184

If you plug in the correct numbers into the formula 

[tex]a \dfrac{1- r^{n} }{1-r} [/tex]

Then you get

[tex]6 \dfrac{1- 3^{6} }{1-3} [/tex]

And when the fraction is simplified it looks like this

[tex]6 \dfrac{-728}{-2} [/tex]

Once this is in simplified form you take the 6 and put it over 1 like so

[tex] \dfrac{6}{1} * \dfrac{-728}{-2}[/tex]

Then you find the prime factors of 6 and factor the -2 like so

[tex] \dfrac{3*2}{1} * \dfrac{-728}{-1*2}[/tex]

Once this is done cancel out the 2

[tex] \dfrac{3}{1} * \dfrac{-728}{-1}[/tex]

Then multiply -728 by 3

[tex]\dfrac{-2184}{-1}[/tex]

Then divide to get 2184

Your friend, ASIAX