SOLUTION: Please help me solve. i+i2+i3+i4+i5= ?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help me solve. i+i2+i3+i4+i5= ?      Log On


   

Question 100973: Please help me solve.
i+i2+i3+i4+i5= ?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
i+i^2+i^3+i^4+i^5=
i=sqrt(-1)
i^5=sqrt(-1)
i^2=-1
i^3=-sqrt(-1)
i^4=1
.
2sqrt(-1)+(-1)+(-sqrt(-1))+1
=2sqrt(-1)-1-sqrt(-1)+1
=sqrt(-1)
i+i^2+i^3+i^4+i^5= i
Ed