• # question_answer The value of ${{i}^{n}}+{{i}^{n+1}}+{{i}^{n+2}}+{{i}^{n+3}}\,,\,(n\in N)$ is [RPET 2001] A) 0 B) 1 C) 2 D) None of these

${{i}^{n}}+{{i}^{n+1}}+{{i}^{n+2}}+{{i}^{n+3}}={{i}^{n}}[1+i+{{i}^{2}}+{{i}^{3}}]$$=\,{{i}^{n}}[1+i-1-i]=0$.