Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. (4 points each.) 4(4n + 1)(8n + 7) 1.4-6+5-7+6-8+...+4n(4n+2)= 6 2 2.12+42+72+...+(3n2)2= "(5\" '3n1) 2 For the given statement Pn, write the statements P1, Pk, and Pk\". (2 points) 3.2+4+6+...+2n=n(n+1)