2
AssignmentMultiple Choice

Summation Notation

Question 2 • AZ-Common Core Algebra II B

What is the rule for the geometric sequence shown?1, 2, 4, 8 …

Answer
A
an = 0.25(2)n–1
B
an = 2(2)n
C
an = (2)n–1
D
an = 1 + (n –1)(2)

Explanation

A geometric sequence has a constant ratio between consecutive terms. Here, each term is multiplied by 2, and the first term is 1. Using the formula aₙ = a₁rⁿ⁻¹ gives aₙ = 1(2)ⁿ⁻¹, which is choice C, aₙ = (2)ⁿ⁻¹.

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