Question

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

Answer 1

Answer:

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

Answer 2

Answer:

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