Question

Consider the sequence of numbers given by 8,4,2,1, ... a. What do you think is the next number in the pattern? Explain. b. Come up with a different number that fits the pattern. Explain the new patter

Answer 1

The pattern in the given sequence is that each number is halved, and the next number would be 0.5. Another pattern can be created by multiplying each number by -1.

Step-by-step explanation:

a. The pattern in the sequence is that each number is halved. Starting with 8, we divide by 2 to get 4, then divide by 2 again to get 2, and so on. Therefore, the next number in the pattern would be 1 divided by 2, which is 0.5.

b. To come up with a different number that fits the pattern, we could multiply each number in the sequence by -1. So, starting with 8, we multiply by -1 to get -8, then multiply by -1 again to get 8, and so on. This new pattern would give us -1, 1, -2, 2, -4, 4, and so on.