00:01
We have the sequence, and we need to come up with an equation for the end term of the sequence, for the given values of the sequence.
00:11
In other words, we need to find a function f of n that takes n as his input and returns these corresponding values.
00:21
You will notice right away that for some of these values of n, the end term of the sequence is actually just n divided by 2.
00:34
And this is actually true for the even values, right, 2, 4, 6, and 8.
00:39
So we can say that f of n equals n over 2 is if n is even.
00:50
But what about for these odd numbers, right? go on 3, 5, 7.
00:55
Well, if we take that same equation f of n equals n over 2, we find that we're actually not going to get the correct value of the sequence, right? f of 3, if you value in n over 2, we have, and then, and over 2, we is just going to be 3 over 2 is the same as 1 .5.
01:13
That's not what we want.
01:15
Want 1...