To find the missing number in the given sequence, let's examine the differences between consecutive numbers:
1414 - 1000 = 414
1732 - 1414 = 318
2000 - 1732 = 268
2236 - 2000 = 236
Notice that the differences are decreasing by 96 each time.
To find the next difference, we subtract 96 from the previous difference:
236 - 96 = 140
Now, we can find the missing number by adding this difference to the last number in the sequence:
2236 + 140 = 2376
Therefore, the missing number in the sequence is 2376.
Looking at the options:
A. 3000 - This option is incorrect because it does not follow the pattern in the given sequence.
B. 2441 - This option is incorrect because it does not follow the pattern in the given sequence.
C. 2892 - This option is incorrect because it does not follow the pattern in the given sequence.
D. 2449 - This option is correct because it follows the pattern in the given sequence.
The correct answer is D.