Show that the sequence defined by a1=2, an+1=1/3-an, satisfies 0< an <=2 and is decreasing. Deduce that the sequence is convergent and find its limit.
Show that the sequence defined by a1=2, an+1=1/3-an, satisfies 0< an <=2 and is decreasing. Deduce that the sequence is convergent and find its limit.