Question

Evaluate:

1+i^2+i^4+i^6+...+i^2n

Answer 1

We know that

i^2 => -1

i^4 => 1

i^6 => -1

i^8 => 1


Then

1 -1 +1 -1 + 1-1............(2n+1)


So the odd number term is

-1

Answer 2

Answer:

Step-by-step explanation:

We know that

i^2 => -1

i^4 => 1

i^6 => -1

i^8 => 1

Then

1 -1 +1 -1 + 1-1............(2n+1)

So the odd number term is

-1