Question

What is the value of i+ i²+i³+i⁴+i⁵+i⁶+i⁷

Answer 1

Answer:

answer of given problem is (-1).

Step-by-step explanation:

Our given problem is:-

i+ i²+i³+i⁴+i⁵+i⁶+i⁷

.

.

as we know that:-

i = √(-1)

i² = (-1)

i³ = (-i)

i⁴ = ( 1 )

.

.

i+ i²+i³+i⁴+i⁵+i⁶+i⁷

= i + (-1) + (-i) + (1) + (1)•(i) + (1)•(i²) + (1)•(i³)

= i + (-1) + (-i) + (1) + (i) + (1)•(-1) + (1)•(-i)

= i + (-1) + (-i) + (1) + (i) + (-1) + (-i)

= 2i - 2 -2i + 1

= (-1) .... (Ans)

Answer 2

Answer:

hope it will be helpful..