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| Math Central | Quandaries & Queries |
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you explained the way of getting the summation of 100 series numbers but what is the summation of the numbers 1/1+1/2+1/3+1/4+1/5.............................+1/100 |
Mohd,
That is not a question that has a very tidy answer! It can be estimated in various ways, for instance (see below)
http://en.wikipedia.org/wiki/Harmonic_number
or given by a series that starts
gamma + ln(100) + 1/200 - 1/120000 + 1/12000000000 +...
where gamma is the Euler-Mascheroni constant 0.5772156649...
and the sum is about 5.18739418. The first three terms are exact enough for most purposes.
Good Hunting!
RD
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