Example:
Is the sequence 
monotone increasing or decreasing ?
One can start to investigate this statement without having to
suspect the correct answer. We will simply compare the quotient
of two consecutive terms, and see whether the answer is greater
or less than one:
- (1/n) / (1/ (n+1) ) = (n+1) / n > 1
Hence, the n-th term of the sequence divided by the
(n+1) term is always greater than 1, or, in other words,
the n-th term is greater than the (n+1)-th term.
That is the definition of a decreasing sequence so that the
sequence is decreasing.
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