To prove this by induction, check that the equality is true for . (easy )
Then, assuming the equality is true for an integer ,
Multiply the first fraction by and the second one by so that they can be added.
Does it help ?
Yes, you have to write the code for each formula. See this thread.Also, how to get the symbols like you are using? Do we have to write the code for that?
As , we choose as the common denominator. To make appear at the denominator of the first fraction, we multiply it by . For a similar reason, we multiply the second fraction by .
Otherwise, one can do this as follows :