If a sequence doubles each step starting with 3, what is the 4th term?

Study for the Logical Reasoning STEM Test. Practice with flashcards and multiple-choice questions, each with hints and explanations. Prepare for success!

Multiple Choice

If a sequence doubles each step starting with 3, what is the 4th term?

Explanation:
Geometric sequences multiply by a constant factor from one term to the next. Doubling means the common ratio is 2. Starting with 3, the sequence goes 3, 6, 12, 24... so the fourth term is 24. Using the formula for the nth term, a_n = 3 × 2^(n−1), for n = 4 you get 3 × 2^3 = 3 × 8 = 24.

Geometric sequences multiply by a constant factor from one term to the next. Doubling means the common ratio is 2. Starting with 3, the sequence goes 3, 6, 12, 24... so the fourth term is 24. Using the formula for the nth term, a_n = 3 × 2^(n−1), for n = 4 you get 3 × 2^3 = 3 × 8 = 24.

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