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Mathematics
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OpenStudy (anonymous):
Need help. Will medal and fan
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OpenStudy (anonymous):
\[\frac{ 1 }{ 2 }+\frac{ 1 }{ 3 }+...+\frac{ 1 }{ x }>1 \frac{ 1 }{ 2 }\]
OpenStudy (anonymous):
What is the smallest posible value of x
OpenStudy (anonymous):
X=1
OpenStudy (solomonzelman):
\[\large \sum_{n=2}^{x}\frac{ 1 }{ n }>1+\frac{ 1 }{ 2 }\]
this is the problem (i am kinda slow right now esp. with foreign keyboard)
OpenStudy (solomonzelman):
\(\displaystyle\large \sum_{n=2}^{x}\frac{ 1 }{ n }>1+\frac{ 1 }{ 2 }\)
\(\displaystyle\large \sum_{n=3}^{x}\frac{ 1 }{ n }>1\)
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OpenStudy (solomonzelman):
i am thinking about it sorry...:)
OpenStudy (solomonzelman):
do partial sums suffice or want some legit math?
because so far i only see partial sums
OpenStudy (anonymous):
Do whatever you can
OpenStudy (solomonzelman):
1/3+1/4=7/12
7/12 + 1/5 = (35+12)/60 = 47/60
47/60 + 1/6 = (47 + 10)/60 = 57/60
57/60 + 1/7 = (399 + 60)/420 = 459/420
OpenStudy (solomonzelman):
\(\displaystyle\large \sum_{n=3}^{x}\frac{ 1 }{ n }>1\)
\(\displaystyle\large x=7\)
based on partial sums
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OpenStudy (anonymous):
yay!
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