JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

Let

\omega \neq 1

, be a cube root of unity, and

f: \mathbf{I} \rightarrow \mathbf{C}

be defined by

f(n)=1+\omega^n+\omega^{2 n}

, then range of

f

View answer and explanation

Correct option: B

\{0,3\}

Option B (

\{0,3\}

) is correct because the function f(n) evaluates to either 0 or 3 depending on whether n is a multiple of 3 or not.

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