1. The problem is to find the missing number in the sequence: 372, _, 377, 379, 382, 384, 387. 2. To solve this, we first look at the differences between the known consecutive numbers to identify the pattern. 3. Calculate the differences: - Between 377 and 379: $379 - 377 = 2$ - Between 379 and 382: $382 - 379 = 3$ - Between 382 and 384: $384 - 382 = 2$ - Between 384 and 387: $387 - 384 = 3$ 4. The pattern of differences alternates between 2 and 3. 5. Working backwards from 377, since the difference after the missing number is 377, and the difference between 377 and 379 is 2, the difference before 377 should be 3. 6. Therefore, the missing number is $377 - 3 = 374$. 7. Check the difference between 372 and the missing number: $374 - 372 = 2$, which fits the alternating pattern. 8. Final sequence: 372, 374, 377, 379, 382, 384, 387. Answer: 374