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Conjecture and Prove

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Dec 8, 2020

#1
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This is a telescoping series. Why don't you try to do some research on them and then make an attempt. When you have done that, tell us what you got and show your steps. We will correct you if anything there is wrong.

Dec 8, 2020
#2
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Im practicing Indction, and i just want to know what the sum of that is so i can start my induction process

Dec 8, 2020
#3
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Ah I see, I apologise.

The sum is $1/\infty$, if I am not mistaken. If there were a capping to the value of $n$, then it would be a summable telescoping series, but this has no value of $n$, so assuming $n=\infty$, the sum is also $1/\infty$.

Nacirema  Dec 8, 2020
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Oops, my question was what would that be equal to, in terms of n. I believe I solved with using Gauss' method and i got the sum of that equals n/4+1/(2(n+1))

BWStar  Dec 8, 2020
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That should be correct!

Nacirema  Dec 8, 2020
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