Determine whether the sequence converges or diverges. If it converges, give the limit.

60, 10, 5/3, 5/18, ...

Question

Determine whether the sequence converges or diverges. If it converges, give the limit. 

60, 10, 5/3, 5/18, ...

parthkohli · Answer

The limit is the sky!

Just kidding. Do you know what the question means?

anonymous · Answer

not really...

parthkohli · Answer

In the easiest terms that I can imagine, it asks you that if I keep this sequence on forever and ever, what would its last term be?

parthkohli · Answer

For example, if I keep the sequence 1, 2, 3, 4 ... on forever and ever, then its last term would be $\infty$.

anonymous · Answer

well I get that its dividing by 6 each time...but it wont be eventually 0 right?

parthkohli · Answer

Yeah, but it would be veeeeeeeeeeeeeeeeeeeeeeeeeery close to zero, and it would be so close to zero that it'd be effectively zero.

anonymous · Answer

oh so would the answer be that it converges at 0?

parthkohli · Answer

Exactly.

anonymous · Answer

awesome that you so much:)

parthkohli · Answer

No problem. ^_^

anonymous · Answer

lol I meant thank you...idk why I typed that you

parthkohli · Answer

Stupid autocorrect.