What will be P(k + 1) for P(n) = n3 (n + 1)?
What will be P(k + 1) for P(n) = n3 (n + 1)? Correct Answer k4 + 5k3 + 9k2 + 7k + 2
P(n) = n3 (n + 1) P(k + 1) = (k + 1)3 (k + 1 + 1) P(k + 1) = (k3 + 3k2 + 3k + 1) (k + 2) P(k + 1) = k4 + 3k3 + 3k2 + k + 2k3 + 6k2 + 6k + 2 P(k + 1) = k4 + 5k3 + 9k2 + 7k + 2
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Feb 20, 2025