50, 83, 116, 149

An+1 = An + 33

so

An = 50 + (n-1)*33

The given series of numbers is 50, 83, 116, 149. To find the pattern or rule behind this sequence, we need to look at the differences between the consecutive numbers.

First, let's find the difference between 83 and 50. The difference is 33.
Next, let's find the difference between 116 and 83. The difference is 33.
Finally, let's find the difference between 149 and 116. Again, the difference is 33.

Notice that the differences between the consecutive numbers are all 33. This suggests that the pattern in this sequence is a constant difference.

To find the next number in the sequence, we need to add 33 to the last number, which is 149. So, 149 + 33 = 182.

Therefore, the next number in the sequence is 182.