Use proof by induction to show that for all positive integers, 2 + 6 + 18 +...+ 23ⁿ¹ = 3ⁿ 1

1. State a Basis Case and prove it.
2. Inductive Step: State the inductive hypothesis.
3. State the goal, what you need to prove based on the induction hypothesis.
4. Complete the induction. Give the steps to go from the hypothesis to the goal. Last, state the conclusion.