Find the wrong number in the following number series:

12, 72, 360, 1440, 4330, 8640, 8640

Question

Find the wrong number in the following number series:

12, 72, 360, 1440, 4330, 8640, 8640

Accepted Answer

**Solution:**

1. Observe the pattern in the series: 12, 72, 360, 1440, 4330, 8640, 8640.

2. Check the ratio between consecutive terms:
   - $\frac{72}{12} = 6$
   - $\frac{360}{72} = 5$
   - $\frac{1440}{360} = 4$

3. Following this pattern, each term is multiplied by a decreasing integer starting from 6:
   - First term $	imes 6 = 72$
   - Second term $	imes 5 = 360$
   - Third term $	imes 4 = 1440$
   - Fourth term $	imes 3 = 1440 	imes 3 = 4320$

4. The next term should be $4320$, but the series shows $4330$, which is incorrect.

5. Continuing the pattern:
   - $4320 	imes 2 = 8640$
   - $8640 	imes 1 = 8640$

**Answer:** $4330$ is the wrong number in the series.

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