This is from PSAT test 2006 Student guide can you please guide me …

27/5,9/5,3/5

38.In the sequence above, each term after the first is equal to 1/3 of the term immediately before it. what is the value of the first term in the sequence that is less than 1/20.thank you.

Expand the sequence a few more steps:

Terms 1-3:

Term 4:

Term 5:

Term 6:

is still greater than , but is less than . Therefore, is the value you seek.