Respuesta :
The values of [tex]\rm a_1[/tex] is 2 and r are -1 of the geometric series and it can be determined by using geometric summation operation.
Given
The following geometric series:
2 – 2 + 2 – 2 + 2
What is geometric series?
The geometric series 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;
[tex]\rm r=\dfrac{a_2}{a_1}[/tex]
Where [tex]\rm a_1[/tex] is the first term of the geometric sequence and [tex]\rm a_2[/tex] is the second term of the geometric sequence.
Then,
The common difference in the given geometric series is,
[tex]\rm r=\dfrac{a_2}{a_1}\\\\r=\dfrac{-2}{2}\\\\r=1[/tex]
The common ratio in the given geometric series is -1.
Hence, the value of [tex]\rm a_1[/tex] is 2 and r are -1 of the geometric series
For more details about Geometric progression refer to the link given below.
brainly.com/question/25959517
