What is the next number in the pattern 1, 4, 16, 64, 256

Mathematics · High School · Wed Jan 13 2021

Answered on

Given the sequence:

1, 4, 16, 64, 256

Determine the next number in the pattern.

Solution:

In order to determine the next pattern, we simply need to determine first the common ratio. To do so, we divide the 2nd term with the 1st term

Common Ratio = 2nd term/1st term

Common Ratio = 4/1

Common Ratio = 4

Now to determine the next number in the pattern, we multiply 256 by 4.

= (4)(256)

= 1024

Final answer:

= 1024