5. (8 points) Let Pin) be the following statement: II 1 V 3n j-1 (In case you're not familiar with the capital Pi notation, it's very similar to the capital Sigma for a summation. But the terms are multiplied together instead of added.) Try to prove Pot by induction for all integers n > 1, and show that the proof fails in the inductive step. Hintz: . Apply the technique of pulling out the last term. . To show that A