Find the sum (i + i2 + i3 + i4 +…. up to 400 terms)., where n N.

Q7 of 202 Page 212

Find the sum (i + i² + i³ + i⁴ +…. up to 400 terms)., where n N.

we have, i + i² + i³ + i⁴ +…. up to 400 terms

We know that given series is GP where a=i , r = i and n = 400

Thus,

Evaluate.

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

Evaluate (1 + i¹⁰ + i²⁰ + i³⁰).

Evaluate: .