2
QuizMultiple Choice

Geometric Series — Quiz

Question 2 • Mathematics III

What are the values of A sub 1 and r of the geometric series? 1 plus 3 plus 9 plus 27 plus 81

Answer
A
A sub 1 is equal to 3 and r is equal to 1
B
A sub 1 is equal to 1 and r is equal to 1 third
C
A sub 1 is equal to 1 and r is equal to 3
D
A sub 1 is equal to 1 third and r is equal to 1

Explanation

The first term of the series 1 + 3 + 9 + 27 + 81 is 1, so A₁ = 1. Divide each term by the term before it to find the common ratio: 3 ÷ 1 = 3, and the same ratio holds for the remaining terms. Therefore, the correct choice is B: A₁ is 1 and r is 3.

AI-written and checked against the verified answer.

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