Question

Find the next three terms: 128, 64, 32, 16, 8, ...

a) 4, 2, 1
b) 6, 3, 1.5
c) 5, 2.5, 1.25
d) 7, 3.5, 1.75

Answer 1

The sequence provided is a halving sequence, meaning each term is half of the previous term. The next three terms after 8 are 4, 2, and 1, which corresponds to option a).

Step-by-step explanation:

The sequence in the question is a simple halving sequence, where each term is half the value of the preceding term. This means that each term is decreasing by a factor of two. So, starting with 8 and halving, the next three terms in the sequence would be:

The next three terms in the sequence 128, 64, 32, 16, 8, ... can be found by noticing that each term is half of the previous term. Therefore, the next three terms are:

1. 8 / 2 = 4,
2. 4 / 2 = 2,
3. 2 / 2 = 1.

Therefore, the answer to the question is option a): 4, 2, 1.