Four students wrote sequences during math class. Andre negative 3 fourths comma 3 eighths comma negative 3 over 16 comma negative 3 over 32 comma dot dot dot Brenda 3 fourths comma negative 3 eighths comma 3 over 16 comma 3 over 32 comma dot dot dot Camille 3 fourths comma 3 eighths comma negative 3 over 16 comma negative 3 over 32 comma dot dot dot Doug 3 fourths comma negative 3 eighths comma 3 over 16 comma negative 3 over 32 comma dot dot dot Which student wrote a geometric sequence?
A geometric sequence has the same ratio between every pair of consecutive terms. Doug’s terms are multiplied by −1/2 each time: 3/4 × (−1/2) = −3/8, then −3/8 × (−1/2) = 3/16, and 3/16 × (−1/2) = −3/32. So Doug wrote a geometric sequence.
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