What is the pattern rule for 15 24 42 78 150?

The pattern in the sequence 15, 24, 42, 78, 150 is that each term is generated by multiplying the previous term by an increasing integer and then adding a specific increment. Specifically, the first term (15) is multiplied by 1.6 to get approximately 24, then multiplied by 1.75 to get 42, multiplied by 1.857 to get 78, and finally multiplied by 1.923 to arrive at 150. The multipliers are increasing, indicating a pattern of growth in the sequence.