A sequence ana_nan is geometric. If a1=2a_1 = \sqrt{2}a1=2 and a2=24a_2 = \sqrt[4]{2}a2=42, what is the infinite sum?
21−24\frac{\sqrt{2}}{1-\sqrt[4]{2}}1−422
21−2−1/4\frac{\sqrt{2}}{1-2^{-1/4}}1−2−1/42
Converges to ∞\infty∞
241−2\frac{\sqrt[4]{2}}{1-\sqrt{2}}1−242