In a geometric sequence with a1 = 2 and r = 3, what is a4?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

In a geometric sequence with a1 = 2 and r = 3, what is a4?

Explanation:
In a geometric sequence, each term is obtained by multiplying the previous term by the common ratio. Starting with a1 = 2 and r = 3, the progression goes: a2 = 2×3 = 6, a3 = 6×3 = 18, and a4 = 18×3 = 54. Therefore, a4 equals 54.

In a geometric sequence, each term is obtained by multiplying the previous term by the common ratio. Starting with a1 = 2 and r = 3, the progression goes: a2 = 2×3 = 6, a3 = 6×3 = 18, and a4 = 18×3 = 54. Therefore, a4 equals 54.

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