I am summing the reciprocal values of a range of integers.
ex.
2,6,4
would give:
Result =$\frac{1}{2}$+$\frac{1}{6}$+$\frac{1}{4}$ = $\frac{11}{12}$
My question
Could I arrive at the same result given just the sum of the integers (12) and the number of integers (3)?
From the place where I am to do the calculation, that is the only two pieces of information that I have available right now.
Sorry if its super obvious.
No,if we take $3,4,5$ then $3+4+5=12$ but $$\frac{1}{3}+\frac{1}{4}+\frac{1}{5}=\frac{20+15+12}{60}=\frac{47}{60}\neq\frac{11}{12}$$