"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:
b. 0, 1, 1/3, 1/2, 1/5, 1/4, 1/7, 1/6, ...
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:
If |a|<1, a_f = -a.
Else, there is no floor term.
a_f = 0
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