Which of the following is a valid form of the inductive hypothesis when using induction to prove is divisible by 8 for all natural numbers n?

Question

Which of the following is a valid form of the inductive hypothesis when using induction to prove    is divisible by 8 for all natural numbers n?

Answer

Assume P(k) = 3 2k + 2  – 8k – 9 is divisible by 8, and prove for k .

Answer

Assume P(k) = 3 2k + 2  – 8k – 9 is divisible by 7, and prove for k + 1.

Answer

Assume P(k) = 3 2k + 2  – 8k – 9 is divisible by 6, and prove for k + 1.

Answer

Assume P(k) = 3 2k + 2  – 8k – 9 is divisible by 8, and prove for k + 1.

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