2
QuizMultiple Choice

Sequences and Iteration

Question 2 • TX-Advanced Quantitative Reasoning

Find the first four iterates of the function f(x) = 2x with an initial value of x0 = 2.

Answer
A
4, 6, 8 ,10
B
2, 4, 6, 8
C
2, 4, 8, 16
D
4, 8, 16, 32

Explanation

Start with x₀ = 2 and apply f(x) = 2x repeatedly. The first four iterates are x₁ = 4, x₂ = 8, x₃ = 16, and x₄ = 32. So the answer is choice D, “4, 8, 16, 32.”

AI-written and checked against the verified answer.

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