Define P(n) to be the assertion that: n(n + 1)(2n + 1) 6 j= (a) Verify that P(3) is true. (b) Express P(k). (c) Express P(k + 1).

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.