Q5 of 202 Page 153

Prove that 1 + i2 + i4 + i6 = 0

L.H.S.= 1 + i2 + i4 + i6


ToProve: 1 + i2 + i4 + i6 = 0


1 + (-1) +1 +


Since, = 1


(where n is any positive integer )




1 + -1 + 1 + -1=0


⇒L.H.S = R.H.S


Hence proved.


More from this chapter

All 202 →
4

Evaluate:

(i)


(ii)


5

Prove that 1 + i2 + i4 + i6 = 0

 6

Prove that 6i50 + 5i33 – 2i15 + 6i48 = 7i.

 6

Prove that 6i50 + 5i33 – 2i15 + 6i48 = 7i.