Sequence 1, 0, 1, 0, 1 A general formula of is

Sequence 1, 0, 1, 0, 1 A general formula of is


sin(n*90)



A general formula of sequence a, B, a, B


a(n+2)=an
Characteristic equation R & # 178; = 1
r1=1 r2=-1
an=A(r1)^n+B(r2)^n
=A+B(-1)^n
A1 = a, A2 = b
A-B=a
A+B=b
A=(a+b)/2 B=(b-a)/2
therefore
an=A+B(-1)^n=(a+b)/2 +(b-a)/2*(-1)^n