Identify areas of applications of discrete mathematics and graph theory.

Q 1: Answer the questions.

1. Let P (n) be the statement that:

for the positive integer n.

1. What is the statement P (1)?
2. Show that P (1) is true, completing the basis step of the proof.
3. What is the inductive hypothesis?
4. What do you need to prove in the inductive step?
5. Complete the inductive step, identifying where you use the inductive step.
6. Complete the inductive step, identifying where you use the inductive hypothesis.

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