KöMaL 2024 C1801

Let sequence $a_n$ be defined as $a_1=2$ and $a_n=a_{n-1}+2n$. Find the sum of the reciprocals of the first 2024 terms of the sequence (i.e. find the value of $\frac{1}{a_1}+\frac{1}{a_2}+\frac{1}{a_3}+ \dots +\frac{1}{a_{2024}}$).