Please help me with the following practice questions. Please clearly show the answer and the work required to get that answer. Thank you!

In the proof by induction of the theorem vn E N, n 2 1 - 4 + 8 + ... + 4n = 2(n' + n), which of the following would be the proper way to state the base case? When n = 1, the sum consists of the first term 4 and the formula shows (12 + 1)? = 4 When n = 0, the sum consists of the first term O and the formula shows 02 + 0 = 0 When n = 1, the sum consists of the first term 4 and the formula shows 2(12 + 1) = 4 When n = 1, the sum consists of the first term 1 and the formula shows 1? = 1 Which of the following is the correct predicate calculus translation of the sentence "Every natural number is greater than or equal to some natural number"? WZU'N= WA 'N 3 UA an EN, am EN, n 2m O vnEN, am EN, n 2m an EN, vm EN, nam Which of the following predicate calculus statements is true? O VX ER, X' > 0 - x2 > 0 EXER, X 0 - x3 0 Which of the following is the negation of the predicate calculus statement "ax e R, x 2 0 A 1/x