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Use the Principle of Mathematical Induction to show that the given statement is true for all...

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!

Math   Precalculus   
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