Question

What are the values of a 1 and r of the geometric series? 1 3 9 27 81.

Answer 1

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,

$r = ratio = \dfrac{3}{1} = 3$

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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