Mathegoras

Sequences and series › Geometric sequences › Common ratio

Ratio of geometric partial sums

High school · ●●○○○ 20 pts

Let SnS_{n} be the sum of the first nn terms of a geometric sequence {an}\{a_{n}\}. If a5+2a10=0a_{5}+2a_{10}=0, find the value of S20S10\frac{S_{20}}{S_{10}}. Give your answer as a decimal.

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geometric series