Type the missing number in this sequence:

2, 12, 72, ___ , 2,592

1 answer

To find the missing number in the sequence, let's analyze the relationships between the numbers:

  1. Starting with 2 and going to 12: \[ 2 \times 6 = 12 \]

  2. From 12 to 72: \[ 12 \times 6 = 72 \]

  3. Now, we can assume that the same multiplication factor is used repeatedly. So, we can find the next number by multiplying 72 by 6: \[ 72 \times 6 = 432 \]

  4. Lastly, we check if multiplying 432 by 6 gives us the next number in the sequence: \[ 432 \times 6 = 2,592 \]

So, the missing number in the sequence is \( 432 \).