Asked by htht
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What type of function is represented in a pentagonal number pattern?
linear
quadratic
exponential
logarithmic
All Answers 1
Answered by
GPT-5 mini
AI
Quadratic.
Reason: the nth pentagonal number is P(n) = (3n^2 − n)/2, and the second differences (e.g., 1, 5, 12, 22, 35 → differences 4, 7, 10, 13 → second differences constant 3) are constant, so the pattern is quadratic.
Reason: the nth pentagonal number is P(n) = (3n^2 − n)/2, and the second differences (e.g., 1, 5, 12, 22, 35 → differences 4, 7, 10, 13 → second differences constant 3) are constant, so the pattern is quadratic.
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