00:01
Suppose we have a sequence where the first term a1 is equal to negative 2 and the common ratio r is equal to 4.
00:07
Let's determine what the fifth term of this sequence would be.
00:10
In order to figure this out, we're going to turn to a formula straight out of the book.
00:14
That states that the nth term of a sequence is equal to the first term multiplied by the common ratio raised to the n minus 1 power.
00:24
All right, so with that in mind, let's find the fifth term, that is a5.
00:28
That will be equal to the first term, negative 2, times the common ratio, 4, raised to the n minus 1 power, that is 5 minus 1.
00:39
And now we can simplify this a little bit.
00:41
We have negative 2 times 4 to the 5 minus 1...