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is your summation suppose to have limits?

yea...but this is just binomial so i just lazy to put them in...

true

that has to be the ugliest summation question i have ever seen

why?

havent*

i'm actually on wikipedia now... but i just couldn't figure out... i'm still trying though...

Ha ha I'm on it too trying to remember this stuff. lols

oh i see what you're doing
just trying to expand
yeah its not a binomial, its a trinomial

I think I need the values of \[r_1\] and \[r_2\] to expand, wouldn't I?

not sure
with a binomial, they would sum up to 5

yea you are right. that is wrong. i was trying different ways to figure out an answer to it. haha..

its ok i would be doing the same thing =)

doesn't seem right
r1+r2 = 5
2r1 +r2 = 5
-> r1 = 2r1
-> 1=2
Equations contradict each other

\[\sum_{k=0}^{5}\sum_{j=0}^{5-k}\sum_{i=0}^{5-j-k}\frac{5!}{i!j!k!}t^{j}t^{2k}\]

i think this is it

what do you mean by unknowns?

I think he mean the k and j are unknowns and are needed to find the \[r_1\] and \[r_2\].

oh

yea thats what i meant

well you are looking at every possible combination of i,j,k where sum equals 5

however the correct way of writing that is in summation form

sorry im kinda lost on how r1 and r2 have anything to do with it

your solving for r1 and r2 i believe

oh got it
thanks

you said the 5-r1 is incorrect, what should it be?