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1/2 = a (1 - (1/3)^4) / (1 - 1/3)
1/2 = a ( 1 - 1/81) / (2/3)
1/2 x 2/3 = a (80/81)
1/3 = a ( 80/81)
1/3 : 80/81 = a
1/3 x 81 /80 = a
a = 27/80
U1 = 27/80