Infinite Families of Infinite Series With Integer Sums

Damiano Fulghesu, James A. Sellers, Courtney K. Taylor

Research output: Contribution to journalArticlepeer-review


Summary: Motivated by a desire to show first-year calculus students examples of infinite series whose sums are relatively straightforward to find, we demonstrate a technique to calculate such sums using tools often demonstrated to calculus students. We then use these results, which include an explicit formula for the sums in question, to prove the existence of an infinite family of infinite series whose sums are integers.

Original languageEnglish (US)
Pages (from-to)33-43
Number of pages11
JournalCollege Mathematics Journal
Issue number1
StatePublished - 2023

Bibliographical note

Funding Information:
During the development of this work, Damiano Fulghesu was partially supported by Simons collaboration grant 36031.

Publisher Copyright:
© 2023 The Mathematical Association of America.


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