Question

Find the sum of the series i+i^2+i^3+...... upto 1000terms is

Anybody please

Answer 1

Step-by-step explanation:

i+(-1)-i............is equal to 0

√-1=i

so on the answer is zero

i^2=-1

Answer 2

Answer:

0

Step-by-step explanation:

First term a = i

Common ratio r = i²/i = i

Total terms n = 1000.

Clearly the series is in GP.

Sₙ = a(rⁿ - 1)/r - 1

==> S₁₀₀₀ = i(i¹⁰⁰⁰ - 1)/1000 - 1

              = i(1 - 1)/1000 - 1 {i¹⁰⁰⁰ = 1}

              = 0.

Hence, Sum of series = 0.

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