Question

Write the following sets in set builder form :
(i) `A = {1,4,9,16,…}`
(ii) `B={(1)/(2),(2)/(3),(3)/(4),(4)/(5),...}`
(iii) `C={-1,}`
(iv) D = set of all odd positive inetgers
(v) `E = {3,6,9,12,…}`
(vi) `F={(1)/(3),(2)/(6),(3)/(11),(4)/(18),...}` .

Answer 1

(i) `A={x:x=n^(2), "where "n in N}`
(ii) `B={x=(n)/(n+1),"where "n in N}`
(iii) `C={x:x^(2)-1=0,x in I}`
(iv) `D={x:x=2n-1,n in N}`
(v) `E={x:x=3n, n in N}`
(vi) `F={x:x=(n)/(n^(2)+2),n in N}`.