The series given is 1, 2, 8, 48, 384. To find the next number, let’s first analyze the pattern:
- From 1 to 2: Multiply by 2.
- From 2 to 8: Multiply by 4.
- From 8 to 48: Multiply by 6.
- From 48 to 384: Multiply by 8.
We can see that the multiplication factors are increasing as follows: 2, 4, 6, and 8. These are increasing by 2 each time. Following this pattern, the next multiplication factor should be 10.
Now, let’s apply this to the last number in the series:
384 multiplied by 10 equals 3840.
Therefore, the next number in the series is 3840.