Question

The largest term in the expansion of $(3+2x{)}^{50}$ where $x=\frac{1}{5}$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

${30}^{50}{(1+\frac{2x}{3})}^{50}\therefore \frac{T_{r+1}}{T_r}\ge 1\Rightarrow 102-2r\ge 15r\Rightarrow r\le 6$