Computational Mathematics Assignment 1 Q1) Consider the statement P-(QV-P). Create a truth table and determine what you can conclude about P and Q if the statement is true. [5 marks] Q2) Prove by induction that 1 + 3 + 5 + . . . + (2n -1) = n2 for all n E N. [5 marks] Q3) Proof by contradiction that v 20 is irrational. [2.5 marks] Q4) For the NAND and NOR gates, perform the following tasks: Construct a truth table with three inputs (A, B, and C) for the gate. [2.5 marks]