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Ratio of sums in a geometric sequence

High school · ●●○○○ 20 pts

A geometric sequence {an}\{a_n\} has all positive terms and satisfies a3=a1+2a2a_3 = a_1 + 2a_2. Find the value of a9+a10a7+a8\frac{a_9+a_{10}}{a_7+a_8}. Round to two decimal places.

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quadratic equations