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Aquí está la fórmula An=A1+(n-1)d
Los datos que tienes son:
a1 = 5
an = 50
d = 3
n = ?
Calculamos el números de términos
an = a1 + (n - 1) * d
50 = 5 + (n - 1) * 3
50 - 5 = 3 (n - 1)
45 = 3n - 3
45 + 3 = 3n
48 = 3n
48/3 = n
16 = n
Respuesta.
n = 16