Question

show that i^n + i^(n+1) +i^(n+2) +i^(n+3)=0 Where n belongs to natural number

Answer 1

${i}^{n} + {i}^{n} \times i + {i}^{n} \times {i}^{2} + {i}^{n} \times {i}^{3}$
i²=-1 and i³= -i use these values and you will get
0