Final answer:
The given sequence is 1, 2, 6, 24, 120, ...
Step-by-step explanation:
The given sequence can be defined recursively as follows:
- d(1) = 1
- d(n) = n * d(n-1)
Starting with d(1) = 1, we can calculate the rest of the terms step-by-step:
- d(2) = 2 * d(1) = 2 * 1 = 2
- d(3) = 3 * d(2) = 3 * 2 = 6
- d(4) = 4 * d(3) = 4 * 6 = 24
- d(5) = 5 * d(4) = 5 * 24 = 120
Therefore, the sequence is 1, 2, 6, 24, 120, ...