Let $f_1,\ldots, f_r \in k[x_1,\ldots, x_n]$ be homogeneous polynomial of degree $d$. Ananyan and
Hochster (2016) proved that there exists a bound $N = N(r, d)$ where if collective strength
of $f_1, \ldots, f_r \geq N$, then $f_1, \ldots, f_r$ are regular sequence. In this paper, we study the explicit
bound $N(r, d)$ when $r = 3$ and $d = 2, 3$ and show that $N(3, 2) = 2$ and $N(3; 3) > 2$.