define a non decreasing sequence of real numbers and give an illustration of a non decreasing sequence of real numbers.
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Non-decreasing means exactly that. It's not quite the same as increasing, since it does not tell you what to do with identical values. Consider the sequence 1, 2, 2, 3, 4 . It's a non-decreasing sequence because the values are in order, yet do not strictly increase from value to value ( ie, 2 is not greater than 2).
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