Solve the problem.The number sequence that corresponds to the figures above is 1, 5, 12, 22, . . . .These are the pentagonal numbers P1, P2, P3, P4, . . . .Use inductive reasoning to find a formula for the nth pentagonal number, Pn.

A. Pn = n(3n - 1)/2
B. Pn = 2n(n - 1)
C. Pn = n(3n + 1)/2
D. Pn = 3n(n - 1)/2


Answer: A

Mathematics

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A.
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