QuestionJuly 15, 2025

What are the values of a a_(1) and r of the geometric series? 2-2+2-2+2 a_(1)=2 and r=-2 a_(1)=-2 and r=2 a_(1)=-1 and r=2 a_(1)=2 and r=-1

What are the values of a a_(1) and r of the geometric series? 2-2+2-2+2 a_(1)=2 and r=-2 a_(1)=-2 and r=2 a_(1)=-1 and r=2 a_(1)=2 and r=-1
What are the values of a a_(1) and r of the geometric series?
2-2+2-2+2
a_(1)=2 and r=-2
a_(1)=-2 and r=2
a_(1)=-1 and r=2
a_(1)=2 and r=-1

Solution
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Answer

a_{1}=2 and r=-1 Explanation 1. Identify the first term a_1 The first term a_1 is the initial value of the series. Here, a_1 = 2. 2. Determine the common ratio r The common ratio r is found by dividing the second term by the first term: r = \frac{-2}{2} = -1.

Explanation

1. Identify the first term $a_1$<br /> The first term $a_1$ is the initial value of the series. Here, $a_1 = 2$.<br />2. Determine the common ratio $r$<br /> The common ratio $r$ is found by dividing the second term by the first term: $r = \frac{-2}{2} = -1$.
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