Find an
explicit formula for the geometric sequence 120, 60, 30, 15,

f(n) = 120 * (1/2)^n

Step-by-step explanation:

First the first number is 120, so we get y = 120, then 60/120 = 1/2

So we no the r, or constant rate is 1/2.

After that, we can finish our equation by doing

f(n) = 120 * (1/2)^n

or

y = 120*(1/2)^x

120(0.5)^x-1

Step-by-step explanation:

If we look at the sequence we can see that the sequence is decreasing by 1/2 of the other or dividing by 2.

120/2= 60 60/2= 30

So, we know the multiplier is 1/2 or 0.5

So...

120(0.5)^x-1

add 5 subtract 1

step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.