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Given the following sequence write the next three terms.

5,000 4,096 2,048 2,044 1,022 ________, _________, ________

User Nil Pun
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1 Answer

3 votes

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.

User Abulafia
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