Question

identify a pattern in the given list of numbers. then use this pattern to find the next number. (more than one pattern might exist, so it is possible that there is more than one correct answer.)
1, 3, 1, 6, 1, 12, 1, ____
the next number is
...

Explanation:

Step1: Analyze odd and even positions

Looking at the sequence: Position 1: 1, Position 2: 3, Position 3: 1, Position 4: 6, Position 5: 1, Position 6: 12, Position 7: 1. Odd - numbered positions (1st, 3rd, 5th, 7th) all have 1. Even - numbered positions (2nd, 4th, 6th): 3, 6, 12. Notice the pattern in even positions: \(3\times2 = 6\), \(6\times2=12\). So the next (8th, even) position should be \(12\times2 = 24\).

Answer:

24