00:01
Let's evaluate this sum.
00:05
Let's use the formulas off to the side here, some summation formulas for powers.
00:14
And let's see if we can manipulate this to where we can use these formulas easily.
00:21
I'll also be using some other formulas that are fairly simple.
00:26
So let's see how those work.
00:30
There is a formula for summations that say we can take the sum of the individual parts of a polynomial and then put the results together in the end.
00:45
So i'm going to show you how to split this apart.
00:50
I'm still going to go from k equals 1 to 25.
00:59
And we're just going to do the first term of this binomial, which is we'll go ahead and multiply, square that out.
01:08
We'll call that 4k squared.
01:15
Okay...