Respuesta :
For the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
What is geometric series?
A series of numbers whose any two consecutive numbers are always in a common ratio of that series.
Given to us
Series, 1 3 9 27 81
To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,
[tex]r = ratio = \dfrac{3}{1} = 3[/tex]
As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.
We need to find the value of a₁ for the given series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,
a₁ = 1
Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁ is 1.
Learn More about Geometric Series:
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