Q. 133.7( 3 Votes )

Mark the Correct

Answer :



Let check the value of (1 + i)n for different value of n


at n =1 , 1+ i (no)


at n =2 , (1 + i)2 = 1 + i2 + 2i = 2i (no)


at n =3 , (1 + i)2(1 + i) = (1 + i)(2i) = 2i – 2 (no)


at n =4 , (1 + i)2(1 + i)2 = (2i)2 = -4 (no)


at n =5 , (1 + i)4(1 + i) = -4(1 + i) (no)


at n =6 , (1 + i)4(1 + i)2 = -4(2i) (no)


at n =7 , (1 + i)6(1 + i) = -8i(1 + i) = -8i + 8 (no)


at n =8 , (1 + i)4(1 + i)4 = (-4)(-4) = 8 (yes)


So, we can say that n = 8 is the least positive integer for which is positive integer.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Evaluate<imRS Aggarwal - Mathematics

Evaluate

<
RS Aggarwal - Mathematics

Evaluate:

RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics

If <img widRD Sharma - Mathematics

<img width=RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics

If (1 + i)z = (1 RS Aggarwal - Mathematics

<img width=RS Aggarwal - Mathematics