Answer:
f(1) = 15
f(n) = f(n-1) x n
Explanation:
The sequence in recursive form is:
f(1) = 15
f(n) = f(n-1) x n
Using this recursive formula, we can find the value of any term in the sequence by calculating the value of the previous term and multiplying it by the index of the current term.
For example, to find the value of f(2), we would use the formula:
f(2) = f(1) x 2
f(2) = 15 x 2
f(2) = 30
Similarly, to find the value of f(3), we would use the formula:
f(3) = f(2) x 3
f(3) = 30 x 3
f(3) = 90
And to find the value of f(4), we would use the formula:
f(4) = f(3) x 4
f(4) = 90 x 4
f(4) = 360
We can continue using this formula to find the values of any term in the sequence.