The first three terms of a geometric progression are $\sqrt{2}$, $\sqrt[3]{2}$ and $\sqrt[6]{2}$. Th

Question

The first three terms of a geometric progression are $\sqrt{2}$, $\sqrt[3]{2}$ and $\sqrt[6]{2}$. Then the next term is

Professor PC Thomas Classes · Answer

$r = \frac{T_2}{T_1} = \frac{2^{1/3}}{2^{1/2}}=2^{1/6}$.