Suppose that P(n): Σi² (from i = 1 to n) = n(n + 1)(2n + 1)/6 is true for n ∈ ℕ. Which of these is NOT a factor of P(k + 1)?

University of Ilorin MTH101 2026-test past question

1. 2k + 1
2. k + 2
3. 2k + 3
4. k + 1

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