00:01
We're being asked to find the first five terms for their given recursively defined sequence.
00:05
Well, remember, the first term is a sub 1, which in this case is the square of the 2.
00:10
Now, to find the second term, a sub 2, we're going to substitute 2 in place of n in our a subn formula.
00:16
So we're going to have the square root of 2 plus a.
00:19
Sub 1.
00:20
But remember, a sub 1 is the square of the 2.
00:23
So we're going to be left with the square root of 2 plus the square of the 2.
00:28
Okay.
00:29
Now let's find the third term, a sub 3.
00:31
To do this, we're going to substitute 3 in place of n.
00:34
So we're going to have the square root of 2 plus a.
00:38
But remember, we just found a.
00:40
It's the square of the 2 plus root 2...