Question 25
Given that
$$\frac{5}{1\times2\times3\times4}+\frac{9}{3\times4\times5\times6}+\frac{13}{5\times6\times7\times8}+\cdots+\frac{57}{27\times28\times29\times30}=\frac{M}{N},$$
where $M$ and $N$ have no common factor larger than 1, find the value of $M+N$.
$$\frac{5}{1\times2\times3\times4}+\frac{9}{3\times4\times5\times6}+\frac{13}{5\times6\times7\times8}+\cdots+\frac{57}{27\times28\times29\times30}=\frac{M}{N},$$
where $M$ and $N$ have no common factor larger than 1, find the value of $M+N$.