Midge added some chlorine to the water in a pool. the chlorine evaporated at a fixed rate every week. the table below shows the amount of chlorine f(n), in ounces, that was left in the pool after n weeks: n f(n) 1 16 2 8 3 4 4 2 which function best shows the relationship between n and f(n)?

which function best shows the relationship between n and f(n)?
f(n) = 16(0.5)n−1
f(n) = 32(0.5)n−1
f(n) = 16(0.5)n
f(n) = 32(0.5)n+1

Option 1st is correct

Step-by-step explanation:

The nth term for the geometric sequence is given by:

          ....[1]

where,

is the first term

r is the common ratio of the terms.

n is the number of terms.

As per the statement:

Midge added some chlorine to the water in a pool. The chlorine evaporated at a fixed rate every week.

The table below shows the amount of chlorine f(n), in ounces, that was left in the pool after n weeks:

n      f(n)

1        16

2        8

3        4

4         2

This is an geometric sequence

For n = 1

From the table:

r = 0.5

Since,

,

, and so on..

Substitute the value of f(1) = 16 and r = 0.5 in [1] we have;

Therefore, the function best shows the relationship between n and f(n) is,

or

i would say b) is your answer

sorry if im wrong

step-by-step explanation: