what are the values of a1 and r of the geometric series? 2 - 2 + 2 - 2 + 2\no a1 = 2 and r = -2\no a1 = -2…

what are the values of a1 and r of the geometric series? 2 - 2 + 2 - 2 + 2\no a1 = 2 and r = -2\no a1 = -2 and r = 2\no a1 = -1 and r = 2\no a1 = 2 and r = -1

what are the values of a1 and r of the geometric series? 2 - 2 + 2 - 2 + 2\no a1 = 2 and r = -2\no a1 = -2 and r = 2\no a1 = -1 and r = 2\no a1 = 2 and r = -1

Answer

Explanation:

Step1: Identify the first - term

In a geometric series (a_1 + a_2+a_3+\cdots), the first - term (a_1) is the first number in the series. For the series (2 - 2+2 - 2+2), (a_1 = 2).

Step2: Calculate the common ratio (r)

The common ratio (r) of a geometric series is given by (r=\frac{a_{n + 1}}{a_n}). Let (n = 1), then (a_2=-2) and (a_1 = 2). So (r=\frac{a_2}{a_1}=\frac{-2}{2}=-1).

Answer:

D. (a_1 = 2) and (r=-1)