00:01
Hi, i'm david and i'm here to have you and see your question.
00:03
In the question here, we're given the recursive formula on the pn equal to the pn minus 1, and then plus 1 the 15.
00:13
We're given the p0, it is equal to the 40.
00:17
Then we can find in the question a that the p1, it will equal to the p0 plus 15, b0 equal to the 40 plus 15, then get equal to the 55.
00:30
Similarly, the p2 equal to the p1 plus 15 equal to 55, we plus under 15, then get equal to the 70, and that will be the answer for the question a.
00:44
Then for the question b, i want to find the explicit formula for the pn.
00:50
Now, if we try to list down the only three values b0 equal to the 40, the next one will be the 55, next one will be the 70.
00:58
So next one we can guess by adding the plus 15 each time we move to the next value.
01:08
So therefore the next one we should get the plus 15 and we should get equal to the 85 and so on.
01:16
So therefore this one stands for the p0, this one stands for the p1, this stands for the p2.
01:23
It will be the p3 and so on.
01:26
Therefore we have the pn...