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**!nval!d_us3rnam3****Member**- Registered: 2017-03-18
- Posts: 25

(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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**Alg Num Theory****Member**- Registered: 2017-11-24
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**!nval!d_us3rnam3****Member**- Registered: 2017-03-18
- Posts: 25

Ok, thanks!

"If we wanna be great, we can't just sit on our hands" - 2017 NFL Bears draft

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