Final answer:
The correct answer is A. The correct next two terms in the sequence are 48 and 12, as each term is obtained by dividing the previous term by 4.
Step-by-step explanation:
The next two terms in the sequence 12288, 3072, 768, 192 are 48, 12. This is because the sequence is formed by repeatedly dividing each term by 4 to obtain the next term.
To find the next term after 192, we divide 192 by 4, which gives us 48.
Continuing this pattern, we divide 48 by 4 to get the subsequent term, which is 12.
Therefore, the sequence progresses as 12288, 3072, 768, 192, 48, 12. The terms decrease by a factor of four each time.