The two consecutive terms in the expansion of ${(3+2x)}^{74}$whose Co – efficient are equal is / are

Coefficient of $T_r=$Coefficient of $T_{r+1}$in ${(3+2x)}^{74}$

Coefficient of $\left(T_{(r-1)+1}\right)$$=$ Coefficient  $\left(T_{r+1}\right)$

$3^{74}{}^{74}{C}_{r-1}{\left(\frac{{\displaystyle 2}}{{\displaystyle 3}}\right)}^{r-1}=3^{74}{}^{74}{C}_r{\left(\frac{2}{3}\right)}^r$

${ }^{74}{C}_{r-1}\frac{{\left(\frac{2}{3}\right)}^3}{{\left(\frac{2}{3}\right)}^1}={}^{74}{C}_r{\left(\frac{{\displaystyle 2}}{{\displaystyle 3}}\right)}^2$

$\frac{3}{2}=\frac{{ }^{74}{C}_r}{{ }^{74}{C}_{r-1}}$

$\frac{3}{2}=\frac{74-r-1}{r}=\frac{75-5}{r}$

$3r=150-2r$

$5r=150$

$\begin{array}{l}r=30\\ T_{30}\&T_{30+1}=T_{31}\end{array}$are consecutive terms.