5
AssignmentMultiple Choice

Arithmetic Series

Question 5 • Precalculus

Select the explicit formula for the sequence that correspond to this geometric series: 6 + 18 + 54 + 162 + 486

Answer
A
ak = 6 • 3k – 1
B
ak = 3 • 6k – 1
C
ak = 6 • 3k
D
ak = 3 • 6k

Explanation

The first term is 6, and each term is 3 times the previous one, so the common ratio is 3. A geometric sequence has explicit formula aₖ = a₁r^(k−1), which here gives aₖ = 6 · 3^(k−1). This matches choice A.

AI-written and checked against the verified answer.

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