00:01
We're being asked to find the first five terms for the given recursively defined sequence.
00:05
Well, we're told a sub 1 is equal to the square of the 2, so that's going to be our first term.
00:10
Now, to find our second term, a sub 2, we're going to substitute 2 in place of n in our formula.
00:15
So we're going to have the square root of a sub 1 divided by 2.
00:20
But remember, a sub 1 is equal to the square of the 2.
00:23
So the second term will be the square of the 2 divided by 2.
00:28
Now, to find our third term, a .7 3, we're going to substitute 3 and 3.
00:32
To our formula.
00:34
So we're going to have the square root of a sub 2 divided by 2.
00:37
But remember, we just found a sub 2.
00:40
So let's substitute that it.
00:41
So we're going to have the square root of our a sub 2 value, which remember was the square root of the square of the 2 over 2.
00:51
And this is all getting divided by the denominator from our a sub 3 turn.
01:01
Okay, so now let's go ahead and find to a sub four.
01:06
So to find a sub four, we're going to substitute four in place of that...