JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Analyzing +4 | -1

The sequence

S=i+2 i^2+3 i^3+\ldots .

. upto 100 terms simplifies to where

\mathrm{i}=\sqrt{-1}

View answer and explanation

Correct option: A

50(1-i)

Option A (50(1-i)) is correct because after multiplying the series by i and subtracting, the resulting geometric series simplifies to 50(1-i).

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