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