Identify the pattern and find the next number in the pattern. 0.8, 3.2 12.851.2

For this case we have the following sequence:

0.8

3.2

12.8

51.2

This sequence can be written as:

0.8 = 0.2 * 4 = 0.2 * 4 ^ 1

3.2 = 0.2 * 16 = 0.2 * 4 ^ 2

12.8 = 0.2 * 64 = 0.2 * 4 ^ 3

51.2 = 0.2 * 256 = 0.2 * 4 ^ 4

Therefore, we have that the generic expression for this case is:

an = 0.2 * 4 ^ n

Then, the next number is then:

a5 = 0.2 * 4 ^ 5 = 0.2 * 1024 = 204.8

answer

the next number in the pattern is 204.8