Question 3
Consider the sequence $\frac11,\frac12,\frac21,\frac13,\frac22,\frac31,\frac14,\frac23,\frac32,\frac41,\ldots,\frac1k,\frac2{k-1},\frac3{k-2},\ldots,\frac{k-1}2,\frac k1,\ldots$. If the 2022nd term of this sequence is in the form $a/b$, in simplest form, what is the value of $a+b$?