Final answer:
By identifying the pattern of subtracting 4 and then halving, the next three terms in the sequence are 1,018, 509, and 505.
Step-by-step explanation:
To solve the sequence, we need to identify the pattern between the terms. The given sequence is: 5,000; 4,096; 2,048; 2,044; 1,022. Observing the pattern, we notice a significant reduction from the first term to the second, and then a halving pattern emerges from the second term to the third. The fourth and fifth terms suggest a pattern of subtracting 4 and then halving again.
If we continue this pattern, the next step would be to subtract 4 from the last term provided, which would be 1,022 - 4 = 1,018. Continuing with halving the result, we would get 1,018 / 2 = 509 as the subsequent term. The following pattern step would again involve subtracting 4, resulting in 509 - 4 = 505.
Therefore, the next three terms of the sequence would be 1,018, 509, and 505.