00:01
We want to find the first 10 terms of the sequence given a1 is equal to a2 is equal to 1, and a .n plus 2 is equal to a .m plus 1 plus a .n.
00:16
So first let's figure out what we get when n is equal to 1.
00:23
So we'll have a3 is equal to will be an plus 1.
00:33
So there'd be a 1 here plus 1 and then plus a 1.
00:41
And we're just told that each of these terms are 1.
00:47
So 1 plus 1 is 2.
00:50
So the third term in our sequence is 2.
00:55
Now when n is equal to 2, plugging 2 into a .n plus 2, we'll get a4.
01:02
So a4 is going to be, well, a2, 2, plus 2.
01:10
Plus 1 plus a 2.
01:17
So a3 we found was 2.
01:22
And then a2 we know is 1, so that gives us 3, or the fourth term of our sequence.
01:32
Now when end is equal to 3, we'll have a5.
01:40
And this is going to be a3 plus 1 plus a3, 3, 3.
01:53
So a4 should be 3.
01:58
A3 is 2.
02:01
So we get the fifth term of our sequence is 5...