Question: 10a and 11a 10. (a) Use the formulas Si = 2, Sn = Sn-1 + 2n for all n > 2, to write a recursive

10a and 11a 10. (a) Use the formulas Si = 2,

10a and 11a

10. (a) Use the formulas Si = 2, Sn = Sn-1 + 2n for all n > 2, to write a recursive algorithm that computes Sn = 2+4 + 6+ ... + 2n. (b) Give a proof using mathematical induction that your algorithm for part (a) is correct. 11. (a) A robot can take steps of 1 meter, 2 meters, or 3 meters. Write a recursive algorithm to calculate the number of ways the robot can walk n meters. (b) Give a proof using mathematical induction that your algorithm for part (a) is correct

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