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En una PA
an = a1 + (n - 1).d
Del enunciado
a7 = 35
a9 = 83
n = 3
d = ??
83 = 35 + (3 - 1).d
83 - 35 = 2d
48/2 = d
d = 24
a8 = a7 + d
= 35 + 24
= 59
a8 = 59
d = 24