Pauls Patterns

Paul is on the phone to his friend Pesi. He had this nice pattern that he was trying to describe to Pesi but he couldn’t find the words.
If Paul’s pattern was: 3, 7, 11, 15, …

How could he describe to Pesi how to get any member of the number pattern? How could Paul tell Pesi how to get the 50th number in as simple a way as possible?
Then Pesi thought of a pattern.

Pesi’s pattern was 3, 6, 12, 24, …

How could Pesi describe to Paul how to get any member of the number pattern? How could Pesi tell Paul how to get the 50th number in as simple a way as possible?