# Mark the Correct

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.

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