i^6+i^7+i^8+i^9 -1+i = - Vidyadip

MCQ

$\frac{i^6+i^7+i^8+i^9}{-1+i}=$

A
2 i
✓
$0$
C
$1+i$
D
1

✓

Answer

Correct option: B.

$0$

(B)
Since $i ^{ n }+ i ^{ n +1}+ i ^{ n +2}+ i ^{ n +3}=0$
$\therefore \quad \frac{i^6+i^7+i^8+i^9}{-1+i}=0$

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