**Instructions:** Except for questions that ask for a simple True or False, complete solutions with details are required with reasons for each of the operations you perform to obtain a solution. For example, if the problem asks for a *Proof*then we need to see all the steps of the argument as is given in your eResource textbook.

- Use mathematical induction to prove that

4 + 10 + 16 +…+ (6n−2) = n(3n +1) - Use mathematical induction to prove that n
^{3}−n is divisible by 3. - Prove that any amount of postage greater than or equal to 2 cents can be built using only 2-cent and 3-cent stamps.
- In a group of k people with k ≥ 1, each person is to shake hands with every other person. Find a formula for the number of handshakes, and prove your formula using induction.

Subject | Mathematics |

Due By (Pacific Time) | 11/15/2014 12:00 am |

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