7
QuizMultiple Choice

Compound Interest and Geometric Sequences — Quiz

Question 7 • Advanced Financial Algebra

Which geometric formula would find the n th term for the sequence (3)/(4),(9)/(16),(27)/(64),(81)/(256) ?

Answer
A
A sub n is equal to 3 fourths times 3 fourths raised to the n minus 1 power
B
A sub n is equal to 3 times 1 fourth raised to the n minus 1 power
C
an=(916)n−1
D
A sub n is equal to 3 fourths raised to the n minus 1 power

Explanation

The sequence is geometric because each term is multiplied by 3/4 to get the next term: (9/16) ÷ (3/4) = 3/4. Its first term is 3/4, so the nth-term formula is aₙ = (3/4)(3/4)ⁿ⁻¹. This matches choice A.

AI-written and checked against the verified answer.

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