9
QuizMultiple Choice

Compound Interest and Geometric Sequences — Quiz

Question 9 • Advanced Financial Algebra

Which geometric formula would find the n th term for the sequence 7 , 14 , 28 , 56 ?

Answer
A
A sub n is equal to 7 times 2 raised to the n minus 1 power
B
A sub n is equal to 14 times 2 raised to the n minus 1 power
C
A sub n is equal to 14 times 2 to the n th power
D
an=7n

Explanation

Each term is twice the term before it, so the sequence is geometric with first term 7 and common ratio 2. A geometric sequence has the nth-term formula aₙ = a₁rⁿ⁻¹, giving aₙ = 7 × 2ⁿ⁻¹. This is choice A, the formula that produces 7, 14, 28, and 56.

AI-written and checked against the verified answer.

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