Finding the Odd One Out in the Number Sequence

Let's look at the given sequence of numbers: 720, 360, 120, 30, 5.

We need to identify the pattern that connects these numbers to find the one that doesn't fit.

Let's examine the relationship between consecutive terms by performing division:

• The first term is 720.
• The second term is 360. Let's see how 360 relates to 720: \(720 \div 2 = 360\).
• The third term is 120. Let's see how 120 relates to 360: \(360 \div 3 = 120\).
• The fourth term is 30. Let's see how 30 relates to 120: \(120 \div 4 = 30\).

So far, the pattern appears to be dividing the previous term by a sequence of increasing integers: 2, 3, 4.

Let's apply this pattern to find what the next term should be. Following the sequence of divisors (2, 3, 4), the next divisor should be 5.

• If we divide the fourth term (30) by 5, we get: \(30 \div 5 = 6\).

The last term in the given sequence is 5, but according to the established pattern, it should be 6.

Therefore, the number 5 is the one that does not follow the pattern.

The sequence should ideally follow the pattern of division by 2, 3, 4, 5:

• \(720 \div 2 = 360\)
• \(360 \div 3 = 120\)
• \(120 \div 4 = 30\)
• \(30 \div 5 = 6\)

The number 5 is the odd one out as it breaks this consistent division pattern.

Thus, the odd one out in the sequence 720, 360, 120, 30, 5 is 5.