How to Simplify and Compute a Polynomial Sum?

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The discussion focuses on computing the polynomial sum \(\sum_{x=0}^{3}(x^2 + 2x + 2)\). Participants clarify the correct interpretation of the summation limits and the polynomial expression. The correct approach involves substituting integer values from 0 to 3 into the polynomial and summing the results. Additionally, there is a request for information on endogenous money, specifically horizontalism and structuralism, which is deemed off-topic for this thread.

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missusa
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write out the following sum and compute where possible

\sum 3 x =0 (x2 + 2x + 2)

is that clear?
 
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do you mean

\sum _{n = .3}(x^2+2x+2) = ?

when x=0

??

Now where is the index n in the expression to be summed over?

And where is your attempt to solution?
 
Malawi that doesn't make much sense either.
Missusa, if you can't write proper LaTeX, it's better to do it completely without. For example, write
"Sum from n = 1 to infinity of (e^(-n / 3) / n^2)"
 
Maybe OP means:

\sum^3 _{x= 0}(x^2+2x+2)
 
missusa said:
write out the following sum and compute where possible

\sum 3 x =0 (x2 + 2x + 2)

is that clear?

Integral said:
Maybe OP means:

\sum^3 _{x= 0}(x^2+2x+2)

Is Integral right about what you mean? Then the sum, from x= 0 to 3 means you replace the "x" in x2+ 2x+ 2 by 0, then by 1, then by 2, then by 3, and add:
(02+ 3(0)+ 2)+ (12+ 2(1)+ 2)+ (22+ 2(2)+ 2)+ (32+ 2(3)+ 2)
 
Integral said:
Maybe OP means:

\sum^3 _{x= 0}(x^2+2x+2)
That's about the only way I see it making sense. Same as if the limits of summation were n = 0, 3 and x = n, an integer.
 
Thank you so much you two are very smart...I do appreciate your help. That is what I meant but I could not write it the way it was.

Thanks again,
 
Can I get some information about Endogenous Moeny: honrizontalism and structuralism??
 
missusa said:
Can I get some information about Endogenous Moeny: honrizontalism and structuralism??

Definitely not. Especially if you are talking about Levi-Strauss anthropological structuralism with gratuitous misspellings.
 
  • #10
missusa said:
Can I get some information about Endogenous Moeny: honrizontalism and structuralism??
That would be better suited in another thread, either in other sciences or in the economic forums.

Ostensibly, such a disussion is found in one's macroeconomic textbook, or one can search on Google with the keywords. Nevertheless -

http://www.trincoll.edu/~setterfi/Horizontalism,%20Structuralism%20and%20Historical%20Time.pdf

Complexity, Endogenous Money and Macroeconomic Theory By Mark Setterfield

http://cas.umkc.edu/econ/economics/faculty/Fontana/Winter 2005/ROPE.pdf
 
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  • #11
Thank You!
 

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