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a1 = 1/2 +(1-1) 1/3 = 1/2 ---
a2= 1/2 + (2-1) 1/3 = 1/2 + 1/3 = 5/6 --
a3= 1/2 + (3-1)1/3 = 1/2 + 2/3 = 7/6 ---
a4= 1/2 + (4-1) 1/3 = 1/2 + 1 =3/2 ----
a5= 1/2 + (5-1) 1/3 = 1/2 + 4/3 = 11/6 ---