00:01
All right, we've been given a situation where a leprechaun is going to place a single penny under a girl's pillow.
00:06
So we're starting with one.
00:08
And each, on the second night, he's going to put two there, and then each night thereafter, it's going to double.
00:14
Which means that our growth factor is two.
00:19
All right.
00:19
So we have b is equal to two.
00:25
So we have a times our initial value times the growth factor to the, the n minus one power.
00:34
That is a geometric sequence.
00:36
So when we plug these things in, we're starting with one.
00:39
Our growth factor is two to the n minus one.
00:43
So if we wanted to know how many pennies were there on the first night, we'd plug in a one, and we'd get one.
00:50
We'd plug in a two for the second night...