How can an convergent series of rational numbers result in

Emmy Dillon

Emmy Dillon

Answered question

2022-06-24

How can an convergent series of rational numbers result in a irrational number?

Answer & Explanation

Esteban Johnson

Esteban Johnson

Beginner2022-06-25Added 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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