Breaking it up into two simpler fractions is exactly what you do. Note that the harmonic series is only divergent when you have an infinite number of terms. But this is a series of a fininte number of terms... This is actually a telescopic series.
I need a little help with this summation problem.
Find in terms of n, the value of the following sum,
I looked around and found this is called a harmonic series and is divergent to infinity. But the required answer is,
Please Help! Thanks.