Peicewise function and Exponential decay problem in description

Question

If you drop a ball and let it bounce repeatedly, the rebound height becomes smaller with each bounce. Using an initial height of 300 inches the formula for finding the rebound height can be modeled by the function below. What is the approximate rebound for the height a₄ the 4th bounce?

a_n= {a₁=300 n=1

{a_n=a_n-1/n n is greater than or equal to 2

Answer 1

/

| 300 if n=1

a_n = <

| a_n-1 / n if n ≥ 2

\

Using the above formula:

For n = 1, a₁= 300

For n = 2, a₂ = a₁/2 = 300/2 = 150

For n = 3, a₃ = a₂ /3 = 150/3 = 50

For n = 4, a₄ = a₃ / 4 = ______?