Use induction to establish the following results:

Question:

Use induction to establish the following results:

(a) k=n(n + 1)(2n + 1) (n a natural number) k=1 (b) 4+ 10 + 16 +... + (6n2) = n(3n+ 1) (EN)

(c) (2n + 1) + (2n + 3) + (2n + 5) + ... +(4n 1) = 3n2 (n a natural number) (d) 1 + 2 +... + n = (1 + 2 + ...

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