00:02
Here we are asked to evaluate the series to the 10th term.
00:09
First thing we need to identify is what that 10th term will be.
00:16
So let's get rid of this ellipsis here to find that 10th term.
00:20
And let's look at our pattern.
00:22
It looks like from term to term, we are consistently adding 2 to the number.
00:31
So if we follow that pattern, we will have 10, 12, 14, 16, 18, and then finally 20.
00:57
Here we have 10 terms in total, and we could just add them all up if we really wanted to.
01:05
But to really make this a lot easier and smoother, we can use this formula here...