You can put this solution on YOUR website! No apparent pattern.
Try testing for common ratio.
Try testing for common ratio of each ratio.
Try testing for any pattern in difference between successive terms.
Try graphing the sequence. Does any pattern show visually?
The sequence could go according to a rule, but finding such a rule may be beyond "College Algebra" courses. I would be curious what the term at index 8 would be; still increasing and greater than 38 or 39?