Consider the sequence(2 + 2.7)/2 = a1,
(2 + a1)/2 = a2
(2 + a2)/2 = a3
(2 + a3)/2 = a4, etc,
then every member of the infinite sequence a1, a2, a3, ... meets the requirements.
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Any number that can be expressed as a fraction is a rational number otherwise it is an irrational number.
One, and e.
e
Yes. Example: pi - pi = 0.You can even subtract two different irrational numbers to get a rational number.For example: e - (e - 1) = 1 or Φ - (1/Φ) = 1.
Because numbers such as pi, e and the square root of 2 are not rational.