Which of the following would be a correct mathematical induction proof of the following? 2 + 4 + 6 + . . . + 2n = n ( n + 1); n >= 4 Question 12 options: Basis: Show P(4) 2+4+6+8 = 4(4+1) 20 = 20 Induction: Show P(k) P(k+1) 2+4+... +2(k)=k(k+1) =>2+4+... +2(k+1)=k(k+1)+2(k+1) => 2 + 4 + ... + 2(k+1) = (k+1)(k+2) Therefore it is a theorem Basis: Show P(4) 2+4+6+8 = 4(4+1) 20 = 20 Induction: Show P(k) P(k+1) 1 + 4 + ... + 2(k+1) = (k+1)(k+2) 1+4+... +2(k)=k(k+1) Therefore it is a theorem It would not be appropriate to use mathematical induction on this problem Basis: Show P(4) 2 = 4(4+1) 2 = 20 Therefore it's not a theorem