A geometric series is the sum of an unlimited number. The common ratio of the geometric sequence is 3.
A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.
Given the value of a₁ is 10, while the value of a₅ is 810, therefore, the common ratio can be written as,
[tex]\dfrac{a_5}{a_4} \times \dfrac{a_4}{a_3} \times \dfrac{a_3}{a_2}\times \dfrac{a_2}{a_1} = r \times r \times r \times r\\\\\\\dfrac{a_5}{a_1} = r^4\\\\\\dfrac{810}{10} = r^4\\\\\sqrt[4]{81} = r\\\\r = 3[/tex]
Hence, the common ratio of the geometric sequence is 3.
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