Problem: If S=in+i−n, where i=−1 and n is an integer, then the total number of possible distinct values for S is:
Answer Choices:
A. 1
B. 2
C. 3
D. 4
E. more than 4
Solution:
For integral values of n,in equals either i,−1,−i or +1. When in=i, then i−n=1/i=−i/1.∴S can be 0,−2, or +2.