Using induction, prove that the given equation is true for all positive integer P(n) = 2 +4 +6+ ... + 2n = n(n+1) T T T T Paragraph Arial 11 3 (12pt) S T T. fx Mashups T Path:p Let p, q, and be the propositions p: You get an Aon the final exam. q: You do every exercise in this book. r. You get an A in this class. Write these propositions using p. 4, and r and logical connectives. a) Getting an A on the final and doing every exercise in this book is sufficient for getting an A in this class b) You will get an A in this class it and only if you do every exercise in this book or you get an A on the final exam. Note: Write your answer for every part in a separate line with the number of the question, as following style: a) b) A 3 (1200 3. E-T " TTTT Paragraph %DOQ Of Me Words Path:p By using Rules of Inference prove the conclusion of the expression (AAC) (B - A) - B TTTT Paragraph Artal %DOQ 31200E.T. Path Moving to the chest