The Exponential Sequence Challenge

Only the sharpest minds will unlock the secret...

The Exponential Pattern

Analyze this sequence carefully:

3, 7, 15, 31, 63, ?

Your Task:
Each number in this pattern follows a mathematical rule involving the previous term. Can you determine what the next number should be?

Hint:
Consider how each number transforms into the next. Try testing different operations: multiplication, addition, or perhaps a combination of both?

What number comes next in the sequence?