00:01
Of the arithmetic sequence is negative 25, and the sixth term is negative 17.
00:05
We want to know the seventh term.
00:07
We're going to start out by using the formula for the general term, which is a sub n, equals a.
00:12
1 plus n minus 1, d.
00:16
So we know that a .8 is going to be our first term plus, now n is 8.
00:24
So we're going to put 8 in place of n.
00:27
Or we can say that's a .7 plus.
00:29
Plus 7d, and that's going to equal to negative 25.
00:35
Sorry for the scrunch.
00:36
So i'm going to move over to the left a bit for a sub six.
00:39
A sub six is going to be a sub one plus six minus one d, which is going to be a sub one plus five d, which is going to equal negative 17.
00:49
So now we have two equations...