Respuesta:
[tex]23-7n[/tex]
Explicación paso a paso:
[tex]16, 9,2,-5.[/tex]
[tex]Diferencia: d = 9-16 = -7[/tex]
[tex]a_{1} =16[/tex]
[tex]a_{2} = a_{1} + d = 16+(-7) = 16-7 = 9[/tex]
[tex]a_{3} = a_{2} +d = 9+(-7) = 9-7 = 2[/tex]
[tex]a_{4} = a_{3} +d = 2+(-7) = 2-7 = -5[/tex]
[tex]a_{5} = a_{4} +d = -5+(-7) = -5-7 = -12[/tex]
El término general es:
[tex]a_{n} = a_{n-1} +d = a_{1} + (n-1)*d = 16+(n-1) *-7[/tex]
[tex]a_{n} = 16 + ( -7n+7 ) = 23-7n[/tex]
[tex]Luego:a_{n} = 23-7n[/tex]
