00:01
Here we're given 8, 4 root 2, 4, and 2 root 2.
00:05
And we want to show that it's geometric.
00:07
Well, all we have to do is note, well, what is the common ratio? if we divide here, well, if we divide by the square root of 2, or say multiply by 1 over the square to 2, that gets from here to there.
00:19
If we divide by the root 2, we get there, and if we go here, it's there.
00:21
Since it has a common ratio, it's geometric.
00:24
So then it says that un is equal to 2 to the 7 halves minus 1 half n.
00:30
Now i find this to be a very odd way of putting it, but i still think it's correct.
00:35
Let's simplify this a little bit...