Question

Find the next two numbers in the pattern 1024, -256, 64, -16. Explain your reasoning.

Answer 1

4

Explanation:

pattern alternates between positive and negative values

also, each successive number is the square of the quotient of the value and the next value by 2

example, the square root of 1024 is 32

now take half of 32 to get 16, and then square it to get 256

the square root of 256 is 16

now take half of 16 to get 8, and then square it to get 64