" 13) If a satisfies the equation a"ri "-2a+1=0" and "S=1+a+a^(2)+......+a^(2n+5)" ,then posible value(s) of "S

If a satisfies the equation a^(2017)-2a+1=0 and S=1+a+a^(2)+....+a^(2016). then posible value(s) of S is/are

Let a in(0,1] satisfies the equation a^(2008)-2a+1=0 and S=1+a+a^(2)+....+a^(2007) Then sum of all possible values of S is a.2010 b.2009 c.2008 d.2

Let a in (0,1] satisfies the equation a^(2008)-2a+1=0 and S=1+a+a^2+.....+a^2007 Then sum of all possible values of S is a. 2010 b. 2009 c. 2008 d. 2

Let a in (0,1] satisfies the equation a^(2008)-2a+1=0 and S=1+a+a^2+.....+a^2007 Then sum of all possible values of S is a. 2010 b. 2009 c. 2008 d. 2

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) then evaluate det[[3,1+s_(1),=alpha^(n)+beta^(n)3,1+s_(1),+s_(2)1+s_(1),1+s_(2),1+s_(3)1+s_(2),1+s_(3),1+s_(4)]]

If alpha,beta are the roots of the equation ax^2+bx+c=0 and S_n=alpha^n+beta^n then evaluate |[3, 1+s_1, +s_2] , [1+s_1, 1+s_2, 1+s_3] , [1+s_2, 1+s_3, 1+s_4]|

If alpha,beta are the roots of the equation ax^2+bx+c=0 and S_n=alpha^n+beta^n then evaluate |[3, 1+s_1, +s_2] , [1+s_1, 1+s_2, 1+s_3] , [1+s_2, 1+s_3, 1+s_4]|

Let alpha\ &\ beta be the roots of equation a x^2+b x+c=0\ a n d S_n=alpha^n+beta^nfor\ ngeq1. Evaluate the value of the determinant |3 1+S_1 1+S_2 1+S_1 1+S_2 1+S_3 1+S_2 1+S_3 1+S_4|

[ Let alpha,beta be the roots of x^(2)-2x+5=0 and let S_(n)=alpha^(n)+beta^(n) for ngt=1, then the value of |[3,1+S_(2),1+S_(3)1+S_(2),1+S_(4),1+S_(5)1+S_(3),1+S_(5),1+S_(6)]| is equal to [ (1) -12544, (2) 12544 (3) -4704, (4) -4712]]