27
QuizMultiple Choice

N/A — Exam

Question 27 • Algebra II

Which formula can be used to find the n th term of a geometric sequence where the first term is 8 and the common ratio is negative 3 ?

Answer
A
A sub n is equal to 8 times negative 3 to the n th power
B
A sub n is equal to negative 3 times 8 raised to the n minus 1 power
C
A sub n is equal to open paren 8 times negative 3 close paren raised to the n minus 1 power
D
A sub n is equal to 8 times negative 3 raised to the n minus 1 power

Explanation

For a geometric sequence, the nth term is aₙ = a₁rⁿ⁻¹. Substituting the first term 8 and common ratio −3 gives aₙ = 8(−3)ⁿ⁻¹, which is choice C. The exponent is n − 1, so choice B would not give the correct first term when n = 1.

AI-written and checked against the verified answer.

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