If $a+i b=\sum_\limits{k=1}^{101} i^k$, then $(a, b)$ equals

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

a+i b=\sum\limits_{{k=1}}^{101} i^k

, then

(a, b)

equals

View answer and explanation

Correct option: A

(0,1)

Option A (

(0,1)

) is correct because the sum of the series

\sum_{k=1}^{101} i^k

simplifies to

i

, which corresponds to the complex number

0 + 1i

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