# Thread: Mathematical Induction - Unknown general term for the sum side.

1. ## Mathematical Induction - Unknown general term for the sum side.

I cannot find the general term for the sum for this sequence. Been doing it for hours and I cannot proceed with induction without it. Help would be greatly appreciated. Please view the photo URL: https://imgur.com/pXHvSoa

2. ## Re: Mathematical Induction - Unknown general term for the sum side.

Originally Posted by Bumdwarf
I cannot find the general term for the sum for this sequence. Been doing it for hours and I cannot proceed with induction without it. Help would be greatly appreciated. Please view the photo URL: https://imgur.com/pXHvSoa
Try plugging it into Wolframalpha. It says that the sum is extremely messy:

Wolfram|Alpha: Computational Knowledge Engine

The sum uses the digamma function. Keep in mind the recurrence relation that $\psi(x+1) = \psi(x) + \dfrac{1}{x}$