Question 131
For every positive, odd integer $n$, prove that
$$
\left[ \frac{1}{2} + \sqrt{n + \frac{1}{2}} \right] = \left[ \frac{1}{2} + \sqrt{n + \frac{1}{2020}} \right],
$$
where $[a]$ denotes the integer part of the real number $a$.
$$
\left[ \frac{1}{2} + \sqrt{n + \frac{1}{2}} \right] = \left[ \frac{1}{2} + \sqrt{n + \frac{1}{2020}} \right],
$$
where $[a]$ denotes the integer part of the real number $a$.