Problem 1: Inductive proofs a) Prove by induction that 2 · 2 + 3 · 2² + 4 · 2³+ n≥ 3. ... ' (n + 1) 2n = n. 2n+1 for all b) Prove by induction that 3² – 1 is divisible by 8 for all n ≥ 2. -

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A: NOTE: As per the guidelines, repost part (d).

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A: The explanation of the given problem is below Explanation:Step 1: Step 2: Step 3: Step 4:

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A: The final answer given in steps.Explanation:Step 1:Step 2:Step 3:Step 4:

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A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

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