What are the values of a1 and r of the geometric series? 2 – 2 + 2 – 2 + 2

Geometric series is a series of numbers where the ratio between any two consecutive terms is always the same.

Answer: The values of \(a_1\) and r are 2 and -1 respectively.

Let us find the values of \(a_1\) and r.

Explanation:

The terms in the geometric series are 2, -2, 2, -2, ...

The first term is 2. So, \(a_1\) = 2

r is the common ratio, which is the ratio of any two consecutive terms.

Common Ratio = -2 / 2 = 2/(-2) = -1

So, r is -1

Therefore, the values of \(a_1\) and r are 2 and -1, respectively.