00:01
In this problem, we're being asked to find the 80th term in the arithmetic sequence, two, five halves, three, seven halves.
00:09
Well, let's first figure out what we know.
00:10
Well, we know the first term is two.
00:13
Therefore, a sub one is equal to two.
00:16
Now, because it's an arithmetic sequence, we can find our common difference, which remember is the constant that's getting added to get from one term to the next, which in this case, we're simply adding one -half.
00:27
Therefore, d is equal to one -half.
00:30
And we know our n value because we are looking for the 80th term.
00:35
So n will equal to 80...