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(a) Determine all nonnegative integers $r$ such that it is possible for an infinite arithmetic sequence to contain exactly $r$ terms that are integers. Prove your answer.
(b) Determine all nonnegative integers $r$ such that it is possible for an infinite geometric sequence to contain exactly $r$ terms that are integers. Prove your answer.
I know this problem may have been answered before, but I didn't find those explanatory enough. If you can find a thorough resource, refer me to that, please. Otherwise, solve it here.
"If we wanna be great, we can't just sit on our hands" - 2017 NFL Bears draft
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Me, or the ugly man, whatever (3,3,6)
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Ok, thanks!
"If we wanna be great, we can't just sit on our hands" - 2017 NFL Bears draft
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