Final answer:
The sequence provided is a geometric progression where each term is double the previous one. The next four terms are 1152, 2304, 4608, 9216.
Step-by-step explanation:
The student is asked to continue the pattern 36, 72, 144, 288, 576 by writing the next 4 terms. The pattern doubles the previous number. The next 4 terms in the pattern would be:
- 576 * 2 = 1152
- 1152 * 2 = 2304
- 2304 * 2 = 4608
- 4608 * 2 = 9216
Therefore, the next 4 terms in the pattern are 1152, 2304, 4608, 9216.