Find the wrong term in the given series:

1, 12, 120, 960, 5780, 23040, 46080

Question

Find the wrong term in the given series:

1, 12, 120, 960, 5780, 23040, 46080

Accepted Answer

**Solution:**

1. Given series: 1, 12, 120, 960, 5780, 23040, 46080

2. Let's analyze the pattern by checking the ratio between consecutive terms:

- $12 \div 1 = 12$
   - $120 \div 12 = 10$
   - $960 \div 120 = 8$
   - $5780 \div 960 \approx 6.02$ (not exact)
   - $23040 \div 5780 \approx 3.99$ (not exact)
   - $46080 \div 23040 = 2$

3. The expected pattern of multipliers is decreasing even numbers: $	imes 12$, $	imes 10$, $	imes 8$, $	imes 6$, $	imes 4$, $	imes 2$.

4. Using this pattern, the correct series should be:

- Start with 1
   - $1 	imes 12 = 12$
   - $12 	imes 10 = 120$
   - $120 	imes 8 = 960$
   - $960 	imes 6 = 5760$
   - $5760 	imes 4 = 23040$
   - $23040 	imes 2 = 46080$

5. The term $5780$ is incorrect; it should be $5760$.

**Answer:** $5780$ is the wrong term in the series.

Answer

Answer

Answer

Answer