Hello
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 ?
I assumed the equality was true for .
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?
I did this so that the two fractions share the same denominator.
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 :