Question Detail
Question
If \(7^n - 1\) is divisible by 6, what proves induction?
Correct Answer
Option A is the correct answer.
Detailed Explanation
The divisibility of (7^n - 1) by 6 can be proved using the binomial expansion of ((6+1)^n - 1), which expands to multiples of 6. This is an application of the binomial theorem in induction proofs.
Hint
Write 7 as 6+1 and expand using the binomial theorem.