Rational numbers

• A Sequence of Irrational Numbers with a Rational Limit
  Yes: a sequence can have only irrational terms and still converge to a rational limit, as shown by the sequence √2 divided by n.
• How to Tell Whether a Fraction Has a Repeating Decimal
  Reduce the fraction and factor its denominator: only factors of 2 and 5 give a terminating decimal; any other prime factor gives repetition.