Special Education Certification Practice Test 2025 – Your All-in-One Guide to Exam Success!

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What is the definition of a geometric sequence?

A sequence where each term is multiplied by a constant

The definition of a geometric sequence accurately describes it as a sequence where each term is multiplied by a constant factor to obtain the next term. This constant factor is known as the common ratio. For example, in a geometric sequence like 2, 6, 18, 54, the common ratio is 3, since each term is three times the previous term. This multiplication by a constant differentiates geometric sequences from arithmetic sequences, where a fixed number is added to generate the next term. Understanding this distinction is crucial for recognizing the characteristics of geometric sequences and applying this knowledge in various mathematical contexts.

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A sequence where each term increases by a fixed number

A sequence based on the principle of one-to-one correspondence

A sequence that involves random values

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