9
QuizMultiple Choice

Geometric Series — Quiz

Question 9 • Mathematics III

What are the values of A sub 1 and r of the geometric series? 2 minus 2 plus 2 minus 2 plus 2

Answer
A
A sub 1 is equal to negative 2 and r is equal to 2
B
A sub 1 is equal to 2 and r is equal to negative 1
C
A sub 1 is equal to negative 1 and r is equal to 2
D
A sub 1 is equal to 2 and r is equal to negative 2

Explanation

The first term of the series, A₁, is 2. The common ratio is found by dividing a term by the one before it: −2 ÷ 2 = −1. This ratio also takes each term to the next, so the correct choice is D: A₁ = 2 and r = −1.

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