Algorithms

1. Given the sequence An = {1, 3, 5, 7, 9},        a) Determine the value of ????3 b) Find the value of  ∑ 5 ????=1 ???????? 

2. Identify the missing number in the series.       a) 4, 3, 5, 9, 12, 17, ? b) 3, 6, 11, 18, ? c) 48, 46, 42, 38, ? d) 54, 49, ?, 39, 34 e) 5, 6, 7, 8, 10, 11, 14, ?, ? f) 1, ?, 4, 7, 7, 8, 10, 9, ? 3. Show with an example that if the number of elements in a set is ‘n’, then  a) the number of subsets is 2n        b) the number of proper subsets is 2n - 1.