Algorithms and Data Structures Problems Worth Solving, Questions and Answers

Prove by induction (make sure to show the base case, the inductive hypothesis, and all steps in the proof) Sum (from k=1 to N) of k is less than N^2 for all N >= 2
(a) Given an array A of integers, sorted into ascending order, design an efficient algorithm for finding is there is any array subscript i where A[i] == i. What is the worst case run time of your algorithm (in 'Big-Oh' notation)…