Let's plug in 2 as "n" as it is greater than one.
So it should be the absolute value of ((1/2) +(7/8)i)^2
Let's evaluate the equation,
((1/4)+(7i/8)+(49/64)i^2)
Now, the definition of "i" is that when you square it, you get negative one as the answer.
Now plug that in and you get,
((1/4)-(49/64)+(7i/8))which is equal to: (-33/64)+(7i/8)
But we aren't done just yet!
Since there is an absolute value, it is the same thing as the square root of ((-33/64)^2)+(7/8)^2) Which is (65/64)^2 and square root it and it is 65/64. So it is therefore A.
Edits: correction.
