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Solving Polynomial Equations using Technology

Question 8 • [INMT3] Integrated Math 3 Sem 1 (26-27)

An infinite geometric series converges if the common ratio is .

Answer
A
negative
B
a fraction
C
a proper fraction

Explanation

An infinite geometric series converges when the absolute value of its common ratio is less than 1, or |r| < 1. A proper fraction has a value between 0 and 1, so it satisfies this condition. Merely being negative or a fraction does not guarantee convergence.

AI-written and checked against the verified answer.

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