Series Analysis: Identifying the WRONG Number

The question requires finding the incorrect term in the number series: 5040, 720, 120, 24, 4, 2.

Investigating the Number Series Pattern

Let's examine the relationship between the numbers in the series. Observe the sequence:

• 5040
• 720
• 120
• 24
• 4
• 2

Consider the possibility of factorials:

• $7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040$
• $6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 720$
• $5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$
• $4! = 4 \times 3 \times 2 \times 1 = 24$
• $3! = 3 \times 2 \times 1 = 6$
• $2! = 2 \times 1 = 2$

The series closely follows the pattern of decreasing factorials starting from $7!$.

Comparing Given Series with Factorial Pattern

Let's align the given series with the expected factorial sequence:

The table shows that the number '4' in the fifth position does not fit the factorial pattern. The expected number for this position is $3!$, which is 6.

Conclusion: WRONG Number Identification

Based on the analysis, the number 4 is the incorrect term in the series. It deviates from the established pattern of decreasing factorials ($7!, 6!, 5!, 4!, 3!, 2!$).