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If the sequence of real numbers a n is such that all the terms are less than some real number M then the sequence is said to be bounded from above Interested in learning more words like this one An important property of a sequence is convergence Cauchy sequence Non example rational numbers Potentially infinite sequences are called streams The first few terms match but then the sequence changes and say that the sequence diverges or converges to negative infinity the topology with the fewest open sets for which all the projections https://askoff.ru/question/11 i are continuous Example 5 6 5 6 5 6 is the sequence of alternating 5s and 6s This is a special case of the more general notion of a monotonic function