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What sequence has no upper bound but does not tend to infinity?
If I understand your question correctly, such a sequence is an = x cos(πx). It has neither an upper nor lower bound. It's divergent, but its limit is neither infinity nor negative infinity.
A theorem is proved using a geometric proof true or faulse?
Neither true nor false. Some theorems can be proven using geometric arguments and methods, others cannot.
Is the Fibonacci sequence a geometric sequence?
No. Although the ratios of the terms in the Fibonacci sequence do approach a constant, phi, in order for the Fibonacci sequence to be a geometric sequence the ratio of ALL of the terms has to be a constant, not just approaching one. A simple counterexample to show that this is not true is to notice that 1/1 is not equal to 2/1, nor is 3/2, 5/3, 8/5...
When must you use nor and when to use neither?
Neither, then nor; eg neither Jack nor John can ski.
When to use neither nor?
We use neither nor when we have to say two things that have not happened. Like neither me nor my friend was allowed to take the ride.
