Sigma Notation

RJ22

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Feb 22, 2015
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Can someone explain to me why sigma notation for 5x + 6x + 7x + 8x + 9x + 10x is

10
E nx
5

rather than 1 to 5, and 4x + nx?
 
Can someone explain to me why sigma notation for 5x + 6x + 7x + 8x + 9x + 10x is

10
E nx
5

rather than 1 to 6, and 4x + nx?

It is not a question of "rather than". It can be either

\(\displaystyle \displaystyle{\sum_{n=5}^{10}nx \ = \ \sum_{n=1}^{6}(4x + nx)} \ = \ 24x \ + \ \sum_{n=1}^{6}nx\)
 
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Can someone explain to me why sigma notation for 5x + 6x + 7x + 8x + 9x + 10x is

10
E nx
5

rather than 1 to 5, and 4x + nx?
I would write the 4x + nx as (4+n)x if you wanted to do it your way.

Here is how I try to figure out how to write something in sigma notation.
1)I look at the terms and see what is exactly the same in each one. In your case the terms are 5x, 6x, 7x, 8x, 9x and 10x. They all have an x.
2) Then I look at what is changing in each term. I note that the x is being multiplied by 5 then 6 then 7...then 10. So n is going from 5 to 10.
Hence
10
E nx
5
 
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