How can you answer this through inductive reasoning, J,F,M,A,M,J,J,A,S,O,_,_ then explain.
There isn't much more to it, it's a 'prediction'. So i'd say something along the lines of:
"All of the observed objects in the group have attribute A, where A is the months.
Therefore there is a probabillity that the next observed objects in the group also will have the attribute A, and therefore they will be 'months'.
Fe Fe Fe
Fe Fe Fe
Fe Fe Fe
The obvious answer (and the one my group wanted to give) is Nine-Iron. But, having become quite bored with the whole thing and deciding to have some sport by 'testing' the expert who was giving the seminar, I convinced my group to give the answer Cats (for the reason given in the spoiler below). The expert completely vindicated my opinion of the whole seminar when he completely brushed off this answer and its reason and instead pontificated on why Nine-Iron was the correct answer. (The expert was also completely ambivalent to the possibility that some people - perfectly capable of lateral thinking - might not know that Fe represented the element iron).
I failed the 11+ when I were a lad because I refused to give the socially acceptable answer to a question (probably several, knowing what a biplane is will not always save you specially when the right answer is not one of the given options - which is not the question I originally had in mind but ...) because they were wrong. But then I don't think they wanted independent thinkers to go to grammar school, just slightly above average drones to become bank managers and colonial administrators and other types of white collar criminals.
-note I have taken up practicing long rambling anecdotes, with side stories just to make the reader lose track, for when I get old (that would have been about ten years ago according to my children, so I have a lot of catching up to do).