n/3n + 1, then sub in (n + 1) everywhere that you have an (n) so you get: (n + 1)/(3(n + 1) + 1) = (n + 1)/(3n + 3 + 1) = (n + 1)/(3n + 4) And there you go :)
At 4:13, it is best not to expand, but rewrite it as n(3n+1) + 3n + 1 On top, where the 3n we have on the outside here is from removing it on the inside. Ie, we had 3n+4, but that is the same as (3n+1) + 3. And we just have to distribute the n.
Nice, I"m going to watch this video many times, now I can see better the relationship between induction and the recursive part of a recursive formula, this is agreable, thanks :)
very nice. ty very much sir. if i had to give some feedback, i woudl ask you to use different colors and give more space between the math so that it is easier to look at
Thanks for the great tutorial. Appreciate it!
where does n+1/3n+4 come from?????
n/3n + 1,
then sub in (n + 1) everywhere that you have an (n) so you get:
(n + 1)/(3(n + 1) + 1)
= (n + 1)/(3n + 3 + 1)
= (n + 1)/(3n + 4)
And there you go :)
when you plug in (n+1) in for n in 3n+1 it becomes 3(n+1)+1 which = 3n+3+1 = 3n+4. He just distributed it.
At 4:13, it is best not to expand, but rewrite it as
n(3n+1) + 3n + 1
On top, where the 3n we have on the outside here is from removing it on the inside.
Ie, we had 3n+4, but that is the same as (3n+1) + 3. And we just have to distribute the n.
Nice, I"m going to watch this video many times, now I can see better the relationship between induction and the recursive part of a recursive formula, this is agreable, thanks :)
YOU NEVER EXPLAIN WHERE THE N+1/34N+4 COMES FROM
when you plug in (n+1) in for n in 3n+1 it becomes 3(n+1)+1 which = 3n+3+1 = 3n+4. He just distributed it.
he added the n+1 to the An equation
Plug n + 1 into the explicit formula.
@@Why-cl8pf helpful, was slamming my table in frustration because he didn't specify
very nice. ty very much sir. if i had to give some feedback, i woudl ask you to use different colors and give more space between the math so that it is easier to look at
this really helps me thanks a lot
We don't get 2/7 for this formula
Thank you, this was very helpful!
tangkyu sirrrn yu goood
3:06 oh, those were meant to be subscripts..
thank you norman
this is wack
why
L u