1.Let α,β\alpha, \betaα,β denote the cube roots of unity other than 1 and α≠β\alpha \ne \betaα=β. Let S=∑n=0∞(−1)n(αβ)nS = \sum_{n=0}^{\infty} (-1)^n \left(\frac{\alpha}{\beta}\right)^nS=∑n=0∞(−1)n(βα)n. Then the value of S isa.either −2ω-2\omega−2ω or −2ω2-2\omega^2−2ω2b.either −2ω-2\omega−2ω or 2ω22\omega^22ω2c.either 2ω2\omega2ω or −2ω2-2\omega^2−2ω2d.either 2ω2\omega2ω or 2ω22\omega^22ω2Login to continueOnly logged in users canattempt or see the solution.
