Question

The side length of the square whose area is equal to the $7^{th}$ term of the sequence $2,\sqrt{8},4,\dots ,$ is

• A. $3$
• B. $4$
• C. $5$
• D. $6$

Answer 1

The correct option is B $4$

Given sequence $2,\sqrt{8},4,\dots$ is a G.P., whose common ratio is $r=\sqrt{2}$
$7^{th}$ term is
$T_7=a{r}^6=2(\sqrt{2}{)}^6=16$

Therefore, the side length of the square is $4$.