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Recursive Formulas

Question 2 • AZ-Common Core Algebra II B

5 + 7 + 10 + 14 + …

Answer
A
arithmetic
B
geometric
C
neither

Explanation

An arithmetic sequence has a constant difference between consecutive terms. Here the differences are 7 − 5 = 2, 10 − 7 = 3, and 14 − 10 = 4, so they are not constant. A geometric sequence has a constant ratio, but the ratios 7/5, 10/7, and 14/10 are not all equal. Therefore, the sequence is neither arithmetic nor geometric, which is choice C.

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