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1. Twentieth term of a radical sequence ●●○○○ 20 ptsConsider the sequence $\sqrt{2}$, $-2$, $\sqrt{6}$, $-2\sqrt{2}$, $\sqrt{10}$, $-2\sqrt{3}$, $\ldots$. Following this pattern, find the 20th number in the sequence. Round to two decimal places.
2. Ratio in a geometric sequence ●●●○○ 50 ptsIn the geometric sequence $\{a_n\}$ of real numbers, $a_5 \cdot a_{11} = 4$ and $a_3 + a_{13} = 5$. Find all possible values of $\frac{a_{14}}{a_4}$. Give each value as a decimal, in increasing order.