00:01
For this sequence, it's helpful to make a table with n and an.
00:05
And then we can see as we get bigger, do we notice any trends? and maybe that will help us decide whether it's convergent or divergent.
00:12
Well, we know that the sequence starts with zero, so write in zero.
00:17
Then we get three, zero, zero, three, zero, zero, zero, three.
00:27
We can see that this pattern of zero, three, zero, and then sometimes a zero spacer is the thing that's being repeated, which means that as we go to infinity, it's just going to oscillate between zero and three, which means that we're going to have a no convergence because we're not going to slowly approach.
00:57
It would be different if we went zero, one, zero, two, zero, 2 .1, 2 .2...