00:01
All right, kind of a lot going on here.
00:02
We got a few different things to make sure that we include in our summation notation.
00:09
But first, let's go ahead.
00:11
I'll make this variable k.
00:13
Why not? k is going to start, let's say this coefficient is k, the 1, 2, 3, 4.
00:19
We're going to start at 1 and end at 100.
00:24
Good.
00:25
And so let's go ahead and put that k as that coefficient out in front.
00:29
Now, clearly there's something happening here with the x's.
00:33
And so we're going to have an x, but you can't just say raise to the k power, because otherwise that x would be in that first term, and it's not there.
00:43
So we're going to have to say it's raised to the k minus one power, because this x needs to go away for that first term.
00:50
When i plug in 1 minus 1 for that exponent, that's x to the 0 power, which is 1.
00:56
So it does successfully go away.
00:58
And continuing forward, it does stay there, as in like, if i plug in a 2 here, 2 minus 1 is 1.
01:06
If i plug in a 3, 3 minus 1 is 2...