A harmonic sequence is a sequence whose reciprocals form an arithmetic sequence.
e.g.
1/2 1/3 1/4 1/5 1/6 ...
What is the sum
1/a + 1/(a + d) + 1/(a + 2d) + ... + 1/(a + (n - 1)d)
^_^
2006-07-31 00:52:45 · 5 answers · asked by kevin! 5 in Science & Mathematics ➔ Mathematics
There is no closed form expression for this.
2006-07-31 01:05:51 · answer #1 · answered by mathematician 7 · 1⤊ 0⤋
Sum varies based on value for 'a' and 'd'. This means the solution is a multi variable function between 0 and n. More of a membrane than a single value.
2006-07-31 02:09:06 · answer #2 · answered by Anonymous · 0⤊ 0⤋
I don't know if you've checked this webpage out, but it is worth reading.
http://mathworld.wolfram.com/HarmonicSeries.html
2006-07-31 01:11:10 · answer #3 · answered by Jimbo 5 · 0⤊ 0⤋
http://www.mathpages.com/home/kmath284.htm
2006-07-31 01:16:48 · answer #4 · answered by DigitalManic 2 · 0⤊ 0⤋
no solution/equation has been formed yet.
2006-07-31 01:14:26 · answer #5 · answered by Croasis 3 · 0⤊ 0⤋