(a) A = {1, 2, 5, 7} and B = {1, 3, 6, 7} are subsets of the universal set U = {1, 2, 3,...., 10}. Find (i) $A^{\prime }$ ; (ii) $(A\cap B{)}^{\prime }$ ; (iii) $(A\cup B{)}^{\prime }$ ; (iv) the subsets of B each of which has three elements.
(b) Write down the 15th term of the sequence, $\frac{2}{1\times 3},\frac{2}{2\times 4},\frac{4}{3\times 5},\frac{5}{4\times 6},...$.
(c) An Arithmetic Progression (A.P) has 3 as its first term and 4 as the common difference, (i) write an expression in its simplest form for the nth term ; (ii) find the least term of the A.P that is greater than 100.


Show Answer Show Explanation