Evaluate (i4n+1 – i4n–1)

we have, i4n+1 – i4n–1= i4n.i - i4n.i-1= (i4) n.i - (i4) n. i-1= (1) n.i - (1) n. i-1= i - i-1= 2i

Q4 of 202 Page 212

Evaluate (i⁴ⁿ⁺¹ – i^4n–1)

we have, i⁴ⁿ⁺¹ – i^4n–1

= i⁴ⁿ.i - i⁴ⁿ.i^-1

= (i⁴) ⁿ.i - (i⁴) ⁿ. i^-1

= (1) ⁿ.i - (1) ⁿ. i^-1

= i - i^-1

= 2i

Evaluate (i⁵⁷ + i⁷⁰ + i⁹¹ + i¹⁰¹ + i¹⁰⁴).

Evaluate

Evaluate.

Find the sum (iⁿ+ iⁿ⁺¹ + iⁿ⁺² + iⁿ⁺³), where n N.