Suppose that the water in a swimming pool initially has a chlorine content of 4 parts per million, and 15 percent of the chlorine dissipates each day. If no additional chlorine is
added, write the explicit formula for a sequence that gives the chlorine concentration at
the beginning of each day.
an = 0.15(4)n-1
an= 0.85(4)n-1
an= 4(0.85)n-1
an = 4(0.15)n-1

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube