7
QuizMultiple Choice

Geometric Sequences — Quiz

Question 7 • Algebra II

A student wrote the first three values in a geometric sequence as shown. f comma g comma h comma dot dot dot Which of the following shows the correct relationship between these terms?

Answer
A
h is equal to g over f
B
h is equal to the fraction with numerator g squared and denominator f
C
f g is equal to g h
D
f minus g is equal to g minus h

Explanation

In a geometric sequence, the ratio between consecutive terms is constant, so g/f = h/g. Cross-multiplying gives g² = fh, and solving for h gives h = g²/f. Therefore, the correct relationship is “h is equal to g squared over f.”

AI-written and checked against the verified answer.

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