00:01
Hello, so here we have a sequence, which is defined by a sub n, which is going to be equal to 2n plus 1, and then dividing by n factorial plus 1.
00:08
So when n is 1, we get 2 times 1, which is 2 plus 1, which is 3, and then over, while n factorial is 1 factorial is just 1, 1 is 2.
00:19
So the first term here is just going to be 3 halves.
00:22
Now the second term, when n is 2, we get 2 times 2 is 4 plus 1 is 5, dividing by, while, 2 factorial, which is 2, 2, which is 2, and 2 plus 1 is 3.
00:32
So next term is going to be 5 thirds.
00:35
And then the next term, 1 1 is 3.
00:37
2 .7 is 6.
00:38
6 plus 1 is 7.
00:40
And then 3 factorial is, well, 6.
00:43
And 6 plus 1 is 7.
00:44
So 7 over 7, or i guess we can write that as 1.
00:48
We just leave it as if we want 7 over 7, which is again, it's equal to 1.
00:51
The 4 is, well, 2 times 4, which is 8.
00:56
8 plus 1 is 9...