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anonymous
 5 years ago
I need help on proving left side of the subtraction sigma notation to be equal to the right side.
n n n
Σ (ai  bi) = Σ ai  Σ bi
i=m i=m i=m
anonymous
 5 years ago
I need help on proving left side of the subtraction sigma notation to be equal to the right side. n n n Σ (ai  bi) = Σ ai  Σ bi i=m i=m i=m

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can prove that by theorem

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if both ai and bi converge then you can apply the following rule which is what you've done ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0. This what the teacher sent, You need to start with one side and end with the other side. It looks like you started with the right hand side and ended with the right hand side. I suggest starting with the left hand side and ending with the right hand side. The first few terms of the left hand side will be: (a1  b1) + (a2  b2) + (a3 + b3) +... Start with this and put all the a's together and put all the b's together. Work your algebra magic to get the right hand side of the equation.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh okay , you're on the right track so you'll have : (an  bn) where n can be any number :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in you case n = m = i :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it's a matter of sequence ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0(a1 + b1 )  (a2 + b2 ).....(an + bn)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is there anyway to get your email address so I can show you my scan work if it ok with you because it hard to type math work out

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sure, deviant.g@hotmail.com ^_^ I'll try to help out.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks I'll send you a scan copy of my work right now

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0your email address did no work here mine tariq_adediran@hotmail.com, so youcan just email me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is my work (a1+a2)+.....an(b1+b2)+.......bin Which the teacher side that this is the right side and I should sart went the left side and end with the right side

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You have \[\sum_{i=m}^{n} a_i  b_i\] on the left hand side, so it is (a_m  b_m) + (a_(m+1)  b_(m+1)) + ... + (a_(n1)  b_(n1)) + (a_n  b_n) = [a_m + a_(m+1) + ... + a_(n1) + a_n]  [b_m + b_(m+1) + ... + b_(n1) + b_n] = right hand side

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0teriz, I'm sorry I'm in a hurry, sklee will explain it okay? :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That ok thanks anyway

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you're welcome , sklee lead please? ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sstarica, i will do my best

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0awesome, thank you :) I very much appreciate it.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you're welcome, have a good nite

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol, it's morning, I'm in campus right now :) thank you

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oops..sorry, where are you at? I mean which country

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Hi Teriz, are you ok with that solution?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Middle East :), alright gotta finish my assignment now ^_^

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, all the best sstarica :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you ^_^ likewise

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think so, did you just do the right side?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oops I mean the left side?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i started from the left to get the right hand side. I didnt type out the exact right hand side

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ya, i started from the left side

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok, so will the right side be similar to the left except that when you you combine all the term

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ya, they are the same

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0did you understand my teacher email to me because I still was kind of confuse about it?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just use a simple illustration: m =1, n = 3 a_1 = 11, a_2 = 12, a_3 = 13; b_1= 1, b_2 = 2, b_3 = 3 The left hand side: (a_1  b_1) + (a_2  b_2) + (a_3  b_3) = (111) + (122) + (133) = 10 + 10 + 10 = 30 The right hand side: [a_1 + a_2 + a_3]  [b_1 + b_2 + b_3] = [11 + 12 + 13]  [1 + 2 + 3] = 36  6 = 30

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0which part that you don't understand?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the left hand, because why is the minus inside for that one, but on the right hand sidethe minus is outside

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The left hand side means you find the difference between respective a and b terms before you sum them. On the right hand side, you sum the a and b terms before you find the difference

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So that was basically subtraction prove for the sum sigma notation you gave

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sklee is there anyone I can get your email address so I can show you my scan work tommrro

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks for all help and by the way what college do you go to?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i have graduated Teriz

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That good, so I'll email you my attached work sometime in the morning or afternoon tomrrow for you to check. Thanks again

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you're welcome,i will do my best
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