When you have even number of terms the median will be the. In zeta function regularization the series is replaced by the series The latter series is an example of a Dirichlet seriesWhen the real part of s is greater than 1 the Dirichlet series converges and its sum is the Riemann zeta function zsOn the other hand the Dirichlet series diverges when the real part of s is less than or equal to 1 so in particular the. This video will demonstrate the common steps to proving that the series of nn1 equals nn1n23 for all positive integers using mathematical induction.
Your questions almost always show a lot of it.
First of all 1 for effort. You should always use n12 whenever possible. We can visualize the sum 123n as a triangle of dots. If you had 2 items of data say 1 and 2 the median is halfway between them ie 15 the same as 212.