8
QuizMultiple Choice

Geometric Series — Quiz

Question 8 • Mathematics III

What is the sum of the infinite geometric series? negative 3 minus 3 halves minus 3 fourths minus 3 eighths minus 3 over 16 minus dot dot dot

Answer
A
negative 6
B
negative 93 over 16
C
negative 3 over 32
D
negative 4

Explanation

The first term is −3, and each term is multiplied by 1/2 to get the next, so the common ratio is 1/2. Since |1/2| < 1, the infinite geometric series has sum a₁/(1 − r) = −3/(1 − 1/2) = −6. Therefore, the sum is negative 6, choice A.

AI-written and checked against the verified answer.

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