00:01
We're first being asked to find the nth, or a formula, to find the nth term in the given arithmetic sequence where a sub 1 is negative 2 and d is 4.
00:09
Well, remember, our general formula is a sub n equals a sub 1 plus the quantity of n minus 1 times d.
00:17
So let's substitute negative 2 and for a sub 1 and 4 in for d.
00:22
So when we do this, we're going to have a sub n equals negative 2 plus the quantity of n minus 1 times 4.
00:30
Now, let's simplify.
00:32
So first we're going to distribute the 4.
00:34
So we're left with a sub n equals negative 2 plus 4n minus 4.
00:39
And then we have our late terms of negative 2 minus 4, which is negative 6...