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FORMAL LANGUAGES Prove the following by mathematical induction. For each solution, please specify your (1) base case; (2) induction hypothesis; and (3) inductive step. 1.

FORMAL LANGUAGES

Prove the following by mathematical induction. For each solution, please specify your (1) base case; (2) induction hypothesis; and (3) inductive step.

1. For all n N: 5n + 5

2. For all n N: ni = (1)ⁱi² = (1)ⁿ (n + 1)/2 image text in transcribed

Total: 40 points ( 20 points each) Prove the following by mathematical induction. For each solution, please specify your (1) base case; (2) induction hypothesis; and (3) inductive step. 1. For all nN : 5n+5

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