series and sequences:

Question

kl0723 · Answer

$$a_{n}=\frac{ 2n }{ 3n+1 }$$ does the sequence converge or diverge? can someone help me with this one?

anonymous · Answer

converge to 2/3

anonymous · Answer

Because the +1 is not relevant at infinity. 2n/3n
plug in "infinity or a large number" and it will be approaching 2/3

kl0723 · Answer

I got the same, now what about $$\sum_{n=1}^{\infty}a_{n}$$ ? shouldn't it converge as well?

anonymous · Answer

That would be a fibonacci sequence,

anonymous · Answer

if you google it you will see, They are a bit more complicated, because a to the subsccript n just signifies the nth term is the sum.

anonymous · Answer

And honestly, i do not know the answer to that fibonacci sequence.

kl0723 · Answer

is the sum of the sequence, I thought that finding whether the sequence was convergent or not I could determine the same for the series