SOLUTION: Hey, I was hoping that you guys would be able to help me with a problem that I've been stuck on. sum^31_(k=3) (1/k - 1/(k+1)) Sorry, didn't know how to do it in Latex. An

Algebra ->  Sequences-and-series -> SOLUTION: Hey, I was hoping that you guys would be able to help me with a problem that I've been stuck on. sum^31_(k=3) (1/k - 1/(k+1)) Sorry, didn't know how to do it in Latex. An      Log On


   

Question 1120489: Hey,
I was hoping that you guys would be able to help me with a problem that I've been stuck on.
sum^31_(k=3) (1/k - 1/(k+1))
Sorry, didn't know how to do it in Latex.
Any help would be greatly appreciated!
Thanks,
SaturnV_
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
If I understand your writing correctly, you are asking about the sum


    1%2F3-1%2F4 + 1%2F4-1%2F5 + 1%2F5-1%2F6 + . . . + 1%2F31-1%2F32


Now notice that all intermediate terms cancel each other, since each pair has opposite signs.


The only survived terms are very first and very last,  1%2F3 - 1%2F32.


You may simplify it further, if you want or if you need . . .

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