So I was helping my roommate with his homework, and it has the following problem:
Fill in the blanks so that
___, 8, ___, ___, 27, ___, ...
a. an arithmetic sequence.
b. a geometric sequence.
c. a sequence that is neither arithmetic nor geometric, for which you are able to write a general term.
The Attempt at a Solution
We tried a Fibonnaci-type sequence, but that really didn't work. And we don't know any other types of sequences. Should I try some sort of quadratic relationship?