Pick out the odd one from the following series: $5,15,60,350,1800$

Let's find the logic underlying the multiplication progression in this series:
* $\text{1st term}=5$
* $\text{2nd term}=5\times 3=15$
* $\text{3rd term}=15\times 4=60$
* $\text{4th term}=60\times 5=300$
* $\text{5th term}=300\times 6=1800$

According to the continuous pattern ($\times 3,\times 4,\times 5,\times 6$), the fourth term must be $300$ instead of $350$.
Thus, $350$ is the odd/incorrect term in the series.