A set of numbers has the property that for any number t in the set,t+2 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4
Choose the correct answer: A) II only B) I,III only C) III only D) II,III only E) I only
question is asking for must be there elements.   According to the question if t is there t+2 must be there.   if -2 is the starting element the sequence is as follows.   S ={-2,0,2,4,6....}   if -2 is not the starting element the sequence is as follows   S = {...-4,-2,0,2,4,6...}   By observing the above two sequences we can say that 4 must be there in set S.   Answer : III only
<result>C</result>
A set of numbers has the property that for any number t in the set,t+2 is in the set. If -2 is in the set, which of the following must also be in the set? I. -3 II. 1 III. 4