Question

Related Problem 3 Write The First Four Terms Of The Sequence Whose N^(Th) Term Is (N!)/((N-1)!).

Answer 1

The first four terms of the sequence with the nth term given by (N!)/((N-1)!) are 1, 2, 3, and 4.

Step-by-step explanation:

The student is asking us to find the first four terms of the sequence where the nth term is given by the formula (N!)/((N-1)!). Recall that N! (N factorial) means the product of all positive integers from 1 up to N.

To find the first four terms, we substitute N with 1, 2, 3, and 4 respectively:

1. For N=1: (1!)/(0!) = 1/1 = 1
2. For N=2: (2!)/(1!) = 2/1 = 2
3. For N=3: (3!)/(2!) = 6/2 = 3
4. For N=4: (4!)/(3!) = 24/6 = 4

Thus, the first four terms of the sequence are 1, 2, 3, and 4.