Final answer:
The first four terms of the geometric sequence with a first term of -3 and a common ratio of 2 are -3, -6, -12, and -24.
Step-by-step explanation:
To determine the first four terms of the geometric sequence, we use the general term formula for a geometric sequence, which is an = a1 × r(n-1), where a1 is the first term, r is the common ratio, and n is the term number.
Given a1 = -3 and r = 2, the first four terms can be calculated as follows:
- First term: a1 = -3
- Second term: a2 = a1 × r = (-3) × 2 = -6
- Third term: a3 = a1 × r2 = (-3) × 22 = -12
- Fourth term: a4 = a1 × r3 = (-3) × 23 = -24
Therefore, the first four terms of the geometric sequence are -3, -6, -12, and -24.