Final answer:
To find the first 4 terms of the sequence Q = 2 An, which is a geometric sequence with a common ratio of 2, the correct answer is (a) 2, 4, 8, 16, representing the powers of 2.
Step-by-step explanation:
The question asks to find the first 4 terms of the sequence Q = 2 An where An is implicitly defined as a geometric sequence with a common ratio, looking at the given choices. To solve this, we will recognize that the notation an or An generally represents the n-th term of a sequence, and the provided choice of answers indicates that we're dealing with a geometric sequence.
We'll use the first term a1 = 2 and multiply it by the common ratio to get the subsequent terms. For a geometric sequence, each term is the previous term multiplied by the ratio, so:
- a1 = 2
- a2 = 2 * common ratio
- a3 = a2 * common ratio
- a4 = a3 * common ratio
The choices indicate that the terms are powers of 2. So:
- a1 = 2 = 2^1
- a2 = 2 * 2 = 2^2
- a3 = 2 * 2 * 2 = 2^3
- a4 = 2 * 2 * 2 * 2 = 2^4
Therefore, the correct answer is 2, 4, 8, 16, which corresponds to option (a) 2, 4, 8, 16.