1.Let α\alphaα and β\betaβ be the roots of the equation x2−x−1=0x^2 - x - 1 = 0x2−x−1=0. If pk=(α)k+(β)kp_k = (\alpha)^k + (\beta)^kpk=(α)k+(β)k, k≥1k \geq 1k≥1, then which one of the following statements is not true?a.p3=p5−p4p_3 = p_5 - p_4p3=p5−p4b.p5=11p_5 = 11p5=11c.p1+p2+p3+p4+p5=26p_1 + p_2 + p_3 + p_4 + p_5 = 26p1+p2+p3+p4+p5=26d.p5=p2⋅p3p_5 = p_2 \cdot p_3p5=p2⋅p3Login to continueOnly logged in users canattempt or see the solution.