A sequence begins: a1=3,a2=7,a3=15,a4=31,a5=63a_1 = 3, a_2 = 7, a_3 = 15, a_4 = 31, a_5 = 63a1=3,a2=7,a3=15,a4=31,a5=63. If an=c1r1n+c2r2na_n = c_1 r_1^n + c_2 r_2^nan=c1r1n+c2r2n, what are the characteristic roots?
r1=2,r2=1r_1 = 2, r_2 = 1r1=2,r2=1
r1=2,r2=−1r_1 = 2, r_2 = -1r1=2,r2=−1
r1=3,r2=2r_1 = 3, r_2 = 2r1=3,r2=2
r1=4,r2=1r_1 = 4, r_2 = 1r1=4,r2=1