Question

What are the values of a1 and r of the geometric series? 2 â€"" 2 2 â€"" 2 2.

Answer 1

The values of $a_1$ is 2 and r are -1 of the geometric series and it can be determined by using geometric summation operation.

Given that,

The geometric series is,

2  – 2 + 2 – 2 + 2

We have to determine

What are the values of a1 and r of the geometric series?

According to the question,

Geometric series;

2  – 2 + 2 – 2 + 2

The geometric series $a_1$ is the first term of the geometric sequence and r is the common ratio of the geometric series.

The first term of the given geometric series is 2.

And the common difference in the given geometric series is,

$\rm r = \dfrac{a_2}{a_1}$

Where $a_1$ is the first term of the geometric sequence and $a_2$ is the second term of the geometric sequence.

Then,

The common difference in the given geometric series is,

$\rm r = \dfrac{-2}{2}\\\\r = -1$

The common ratio in the given geometric series is -1.

Hence, the values of $a_1$ is 2 and r is -1 of the geometric series

For more details about Geometric progression refer to the link given below.

https://brainly.com/question/25959517