Question: 1. (4 points) Use induction to prove [(2k - 1) = n2 -4 K = 3 for all positive integers n 2 3. 2. (4

1. (4 points) Use induction to prove [(2k - 1) = n2 -4 K = 3 for all positive integers n 2 3. 2. (4 points) Use induction to show Evil=(n+1)!-1 i= 1 is true for all positive integers n. 3. (4 points) Find a closed formula for i ( i + 1 ) Prove your conjecture using mathematical induction. (Hint: use partial fraction decomposition for 1(it1) alD to find a closed formula for the sum. Review "Telescoping sum" covered in the "Sequences" lecture.) 4. (4 points) Use induction to show 3. = 4n. 4 for all positive integers n > 2. 5. (4 points) Use induction to prove that n!

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