Answer:
The complete sequence is: 3 2 8 4 0 0 0 3 9 5 6 4 8 20 5.
Explanation:
To determine the number that should replace the question mark in the sequence, let's analyze the pattern:
3 2 8 4 0 0 0 3 9 5 6 4 8 ? 5?
If we look at the sequence in groups, we can see the following pattern:
Group 1: 3 2 8 4
Group 2: 0 0 0
Group 3: 3 9 5 6 4 8
Group 4: ? 5?
In Group 1, we can see that each number is increasing by 2. Starting with 3, we add 2 to get the next number (3 + 2 = 5), then add 2 again to get the next number (5 + 2 = 7), and finally, add 2 to get the last number (7 + 2 = 9).
In Group 2, all the numbers are zeros, so there's no change.
In Group 3, the pattern is a bit more complex. If we look at the first three numbers, they are increasing by 3 each time: 3, 6, 9. Then, there's a decrease by 1 (9 - 1 = 8), and finally, an increase by 4 (8 + 4 = 12). So, the pattern in Group 3 is: +3, +3, +3, -1, +4.
Now, let's apply this pattern to Group 4:
The previous number in the sequence is 8, so we'll start with that.
8 + 3 = 11
11 + 3 = 14
14 + 3 = 17
17 - 1 = 16
16 + 4 = 20
So, the missing numbers in Group 4 are 11, 14, 17, 16, and 20. Therefore, the number that should replace the question mark in the sequence is 20.