How to add fractions?
i dont know how to add 1/100+1/101+1/102+...+1/200
Does it have a formula?
- roderick_youngLv 710 years agoFavorite Answer
That's called a Harmonic Series, and you can look it up in Wikipedia.
There's no simple formula for the sum of a harmonic series, but an approximation for the sum of the first n terms of the series 1/k is ln(k+1). So you could go ln(201) - ln(100) to get pretty close to the answer.
- 10 years ago
Use this formula :
Sn = n [2a+ (n-1)b ] / 2
Sn : The sum of arithmatic series
a = The 1st value of the series
b = the difference between two close series
and we get,
n = 201
a = 1/100
b = 1/101 - 1/100 = 0,1/1010
substitute the value above to the formula,
So, we get the Sn = 4,0009Source(s): My lesson in Senior High School