Answer:
\(f(n)= 24(0.5)^{n-1}\)
Step-by-step explanation:
the table below shows the amount of chlorine
f(n), in ounces, that was left in the pool after n weeks:
n 1 2 3 5
f(n) 24 12 6 3
We can see that the value of f(n) is decreasing
f(n) does not have common difference. Lets find common ratio
\(\frac{12}{24} = 0.5\)
\(\frac{6}{12} = 0.5\)
\(\frac{3}{6} = 0.5\)
General rule is f(n) = a1 + (r)^(n-1)
Where a1 represents the first term = 24
r represents the common ratio = 0.5
So the function becomes \(f(n)= 24(0.5)^{n-1}\)
