Final answer:
To find the first term (a¹), common ratio (r), and next 3 terms of the sequence -150, -30, -6, divide each term and determine the pattern. The first term is -750, the common ratio is 0.2, and the next 3 terms are -1.2, -0.24, -0.048.
Step-by-step explanation:
To determine the first term (a¹), common ratio (r), and the next 3 terms of the sequence -150, -30, -6, we need to examine the pattern between each term. The common ratio can be found by dividing the second term (-30) by the first term (-150), which results in a common ratio of 0.2. The first term can be derived by dividing the second term by the common ratio, giving us a first term of -150 / 0.2 = -750. The next three terms of the sequence would be -150, -30, -6, **-1.2, -0.24, -0.048.**