For the same series with $x = \dfrac{3}{2}$, the sum of first $10$ terms is —

• a$\dfrac{1}{3}\left(1 - \dfrac{1}{4^{10}}\right)$
• b$\dfrac{1}{4}\left(1 - \dfrac{1}{4^{10}}\right)$
• c$\dfrac{1}{4^{10}}$
• d$\dfrac{1}{3}$