This question is on mathematical induction. to be considered for a full mark, you must clearly 6. indicate your base step, inductive hypothesis, and where you do apply the inductive hypothesis use mathematical induction to a) show that(j+1)= (n+1)(n+2) whenever n is nonnegative integer. n 2 j0 1 + 4 9 1 1 1 b) show that 1+ n n (5 5 10 marks)

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?