"floor term"

"We say that a_f is a 'floor term' of the sequence (a_n) if a_n >= a_f for all n >= f. Write down the floor terms of the sequences:

a.  ((-a)^n)
b.  0, 1, 1/3, 1/2, 1/5, 1/4, 1/7, 1/6, ...
c. (1/n)"


My interpretation of this somewhat dubious question, is:

#Specify at least one term in each of the sequences, such that all successive terms are greater than that specified term.#

Based on this interpretation, my answers are:


a.
If |a|<1,  a_f = -a.
Else, there is no floor term.

b.
a_f = 0

c.
There is no floor term.


The fact that two of my answers consist of "no floor term", I'm somewhat concerned that I've misunderstood..

Does anyone have a different interpretation of the question? .. If not, then do you agree with my answers?


Thanks for any input