Use the principle of mathematical induction to prove the following statements (a) Pn (2i − 1)2 = n(2n−1)(2n=1) .
i=1 3
(b) 22n+1 + 1 is divisible by 3.6
(c) If A1, A2, ..., An are subsets of the universal set U, then (Tni=1 Ai)′ = Sni=1 A′i, where A′i denotes the complement of the set Ai.