Patrick G.

asked • 11/14/17

Summation division property

3
∑ 2/n
n=1
 
The answer is 11/3. I know how to find the answer by adding up 2 + 1 + 2/3. But I want to know how to do it by the summation properties. There is a multiplication property that says you can pull out the number but there isn't one for division.

Mark M.

tutor
3 ∑ n = 1 2/n is not standard notation. Please revise.
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11/14/17

Patrick G.

Well there is no way to write it on this website.
 
 3
 ∑    2/n
n=1
 
Is this better?
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11/14/17

2 Answers By Expert Tutors

By:

Kenneth S. answered • 11/14/17

Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

Patrick G.

So this would be:
 
  3
2 ∑ 1/n 
 n=1
 
It would still be a summation of a division (1/n). I am only able to find the summation of n by itself which is 3*4/2 = 6. What do I do when it's 1/n ?
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11/14/17

Michael J. answered • 11/14/17

Effective High School STEM Tutor & CUNY Math Peer Leader

Patrick G.

I know how to do it this way. But it would get tedious if the 3 was 300 or 100000. Do you how to do it by the summation properties?
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11/14/17

Kenneth S.

If you wanted the summation of 1/n for all n values from 1 to infinity, you would be seeking the sum so-called Harmonic Series, but that does not converge. For a finite series, you're left to your own devices.
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11/14/17

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