9
QuizMultiple Choice

Geometric Sequences — Quiz

Question 9 • Algebra II

Which formula can be used to find the n th term in a geometric sequence where A sub 1 is equal to 3 and r is equal to 2 ?

Answer
A
A sub n is equal to 3 raised to the n minus 1 power times 2
B
A sub n is equal to 3 times open paren n minus 1 close paren plus 2
C
A sub n is equal to 3 times 2 raised to the n minus 1 power
D
A sub n is equal to 3 plus 2 times open paren n minus 1 close paren

Explanation

The nth term of a geometric sequence is given by Aₙ = A₁rⁿ⁻¹. Substituting A₁ = 3 and r = 2 gives Aₙ = 3 × 2ⁿ⁻¹, which is choice C. The expressions with n − 1 added or multiplied linearly describe arithmetic patterns, not geometric ones.

AI-written and checked against the verified answer.

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