In a geometric sequence, each term is obtained by multiplying the previous term by a constant factor called the common ratio (r).
Here, the common ratio (r) is 2, as given by the formula \(a_n = 2 * a_{n-1}\).
We are given the first term, \(a_1 = 3\).
To find the first four terms of the sequence, we can use this information:
1. \(a_1 = 3\)
2. \(a_2 = 2 * a_1 = 2 * 3 = 6\)
3. \(a_3 = 2 * a_2 = 2 * 6 = 12\)
4. \(a_4 = 2 * a_3 = 2 * 12 = 24\)
So, the first four terms of the geometric sequence are 3, 6, 12, and 24.