00:01
In this question, we have a recursive defined sequence, a n plus 1 is equal to a n upon a n minus 1 and the initial terms a1 is equal to 1 and a2 is equal to 3.
00:22
We need to find the next 4 terms.
00:25
Let's see how to solve this question.
00:28
When we substitute n is equal to 1 in the above expression, or the given recursive defined sequence, so we get a1 plus 1 is equal to a1 upon a1 minus 1 and this will be equal to a2 a 2 a 1 upon a0.
00:51
We have the value of a1 but we don't have the value of a0.
00:55
So let's skip this step.
00:59
So now substitute n is equal to 2 in the given recursive defined sequence.
01:05
So we get a2 plus 1 is equal to a2 upon a2 minus 1.
01:15
Hence a3 will be equals to a2 upon a1.
01:20
We have the values of a2 and a1.
01:23
So substitute, so we get a3 is equal to 3 by 1.
01:33
So this will be equal to 3.
01:36
Similarly, substitute.
01:38
Now, substitute n is equal to 3, so we can write a3 plus 1 is equal to a3 upon a3 minus 1.
01:56
Hence, a4 will be equal to a3 upon a2...