Question 1
The sum
$$\frac1{1\times2\times3}+\frac1{2\times3\times4}+\frac1{3\times4\times5}+\cdots+\frac1{100\times101\times102}$$
can be expressed as $a/b$, a fraction in its simplest form. Find $a+b$.
$$\frac1{1\times2\times3}+\frac1{2\times3\times4}+\frac1{3\times4\times5}+\cdots+\frac1{100\times101\times102}$$
can be expressed as $a/b$, a fraction in its simplest form. Find $a+b$.