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Recursive Formulas

Question 3 • AZ-Common Core Algebra II B

2 + 4 + 2 + 4 + …

Answer
A
arithmetic
B
geometric
C
neither

Explanation

The terms alternate between 2 and 4. An arithmetic sequence must have the same difference between consecutive terms, but the differences here are +2, −2, +2. A geometric sequence must have the same ratio, but the ratios alternate between 2 and 1/2. Therefore, the sequence is neither arithmetic nor geometric.

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