Expanded Form of Sigma Notation Problem

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The discussion centers on how to write a sum in expanded form using sigma notation. Participants express confusion about starting the problem and clarify that expanded form involves writing out the terms of the sum. It is noted that if the number of terms (n) is not specified, it is standard to show a few terms followed by ellipses to indicate continuation. One user mentions that their instructor will check the answer, suggesting that ellipses may not be appropriate for their submission. Ultimately, the consensus is to include ellipses when n is unknown, while focusing on the correct expansion of the sum.
phillyolly
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Write the sum in expanded form.

I don't know where to start with...
 

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phillyolly said:
Write the sum in expanded form.

I don't know where to start with...

Is expanded form just writing it out?
 
Previous ones, I solved them by expansion and getting a number as an answer.
This one, I think maybe just expansion?...
 
Can you post an example of a previous one where you were able to solve for a numerical answer? And is there any more information about this problem? Any definition of f(x), or delta-x?
 
The first two are the ones I solved.

The book has no more information, just this one.
 

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phillyolly said:
The first two are the ones I solved.

The book has no more information, just this one.

Hmm. Maybe others can see something we're missing, but I'd just write it out as a sum, showing the first few terms, then some ellipses, then the nth term. Do you submit the answer to an automated checking probram online, or send it to a human for checking? If it's an automated checker, you'd need to figure out how many terms before the ellipses it expects...
 
berkeman said:
Hmm. Maybe others can see something we're missing, but I'd just write it out as a sum, showing the first few terms, then some ellipses, then the nth term. Do you submit the answer to an automated checking probram online, or send it to a human for checking? If it's an automated checker, you'd need to figure out how many terms before the ellipses it expects...

My instructor will check the answer...I don't think I should use ellipses in the answer. Just expansion. I have no idea what to start with.
 
phillyolly said:
Write the sum in expanded form.

I don't know where to start with...
This means to write the terms in the sum: f(x1)\Delta x_1 + f(x2)\Delta x_2 + and so on. Since n is not given, the usual practice is to write a few terms, then + ... + <last term>.
 
phillyolly said:
My instructor will check the answer...I don't think I should use ellipses in the answer. Just expansion. I have no idea what to start with.
Since you don't know n, you have to use an ellipsis in your answer.
 
  • #10
Mark44 said:
This means to write the terms in the sum: f(x1)\Delta x_1 + f(x2)\Delta x_2 + and so on. Since n is not given, the usual practice is to write a few terms, then + ... + <last term>.

Oh, I see now, thank you all a lot. You are right, I will use ellipsis.
 

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