(8 points) Let Fin) be the following statement: 7Z II 2j 1 23 VBn + 1 j-1 Note that this is a stronger claim than the previous problem, since the left side of the inequality is the same, but the right side is a smaller value. Prove P(n) by induction for all integers n > 2. (In conjunction with the basis step from the previous problem, this indirectly proves the state- ment from the previous problem as well! Math be crazy like that sometimes.)