If i = - 1 , then 1 + i^2 + i^3 - i^6 + i^8 is equal to - Vidyadip

MCQ

If $i = \sqrt { - 1} $, then $1 + {i^2} + {i^3} - {i^6} + {i^8}$ is equal to

✓
$2 - i$
B
$1$
C
$3$
D
$ - 1$

✓

Answer

Correct option: A.

$2 - i$

a
(a) $1 + {i^2} + {i^3} - {i^6} + {i^8} = 1 - 1 - i + 1 + 1 = 2 - i$.

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