JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

Let

{a_n} = {i^{{{\left( {n + 1} \right)}^2}}}

, where

i = \sqrt { - 1}

and

n = 1,\;2,\;3, \ldots

Then the value of

{a_1} + {a_3} + {a_5} + ... + {a_{25}}

View answer and explanation

Correct option: A

The correct answer is A (13) because the series

{a_1} + {a_3} + {a_5} + ... + {a_{25}}

simplifies to a sum of 13 ones.

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