Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**!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

Offline

**Alg Num Theory****Member**- Registered: 2017-11-24
- Posts: 337
- Website

Offline

**!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

Offline