Use the Principle of Mathematical Induction to show that the given statement is true for all natural numbers n.
1 + 4 + 4^2 + ... + 4^n - 1 = 1/3 (4^n - 1)
Also, I looked at the process to get the answer in the textbook and when it comes to the step of k + 1, how does one just multiply by 3? Is there a property that I'm forgetting? Thank you!
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