Question

Show that i" +i"+1 +in+2 +in+3 = 0,VnEN.​

Answer 1

Step-by-step explanation:

Given that: i

n

+i

n+1

+i

n+2

+i

n+3

=i

n

+i

n

⋅i+i

n

⋅i

2

+i

n

⋅i

3

,[∵a

m+n

=a

m

⋅a

n

]

=i

n

(1+i+i

2

+i

3

), take i

n

common

=i

n

(1+i−1−i), [∵i

2

−1,i

3

=i

2

⋅i=−i]

=i

n

(0)=0