Question 7 [10 marks]: Design an algorithm by using induction to compute the sum of the numbers in an array of n numbers. Describe the design process including the induction hypothesis, and specify your algorithm using both recursive and iterative implementations. Question 8 [20 marks]: Prove by Mathematical Induction that for all n≥1, 13 +23 +33 ++ n³ = n²(n + 1)²/4.