How can an convergent series of rational numbers result in

Emmy Dillon 2022-06-24 Answered
How can an convergent series of rational numbers result in a irrational number?
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Answers (1)

Esteban Johnson
Answered 2022-06-25 Author has 15 answers
Adding any two rational numbers results in a rational number. By induction, adding any finite number of rational numbers together results in a rational number.
Adding together infinitely many rational numbers has no such guarantee, in exactly the same way that there is no guarantee that such a sum is finite.
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